%I A000045
%S A000045 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,
%T A000045 10946,17711,28657,46368,75025,121393,196418,317811,514229,832040,
%U A000045 1346269,2178309,3524578,5702887,9227465,14930352,24157817,39088169
%N A000045 Fibonacci numbers: F(n) = F(n-1) + F(n-2), F(0) = 0, F(1) = 1, F(2) = 1, ...
%Y A000045 HERE JUST FOR CHECKING!
%H A000045 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A000045 nonn
%O A000045 1,3
%A A000045 njas, 

%I A003714
%S A003714 1,2,4,5,8,9,10,16,17,18,20,21,32,33,34,36,37,40,41,42,64,65,66,68,
%T A003714 69,72,73,74,80,81,82,84,85,128,129,130,132,133,136,137,138,144,145,
%U A003714 146,148,149,160,161,162,164,165,168,169,170,256,257,258,260,261
%N A003714 Fibbinary numbers
%Y A003714 HERE JUST FOR CHECKING!
%H A003714 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A003714 nonn
%O A003714 1,2
%A A003714 njas, 

%I A036378
%S A036378 1,2,2,5,7,13,23,43,75,137,255,464,872,1612,3030,5709,10749,20390,
%T A036378 38635,73586,140336,268216,513708,985818,1894120,3645744,7027290,
%U A036378 13561907,26207278,50697537,98182656,190335585,369323305
%N A036378 Number of primes p such that 2^n < p < 2^(n+1).
%Y A036378 a(n) = A095005(n)+A095006(n) = A095007(n) + A095008(n) =  A095013(n) + A095014(n) =  A095015(n) + A095016(n) (for n > 1) =  A095021(n)+A095022(n)+A095023(n)+A095024(n) =  A095019(n)+A095054(n) =  A095020(n)+A095055(n) =  A095060(n)+A095061(n) =  A095063(n)+A095064(n) =  A095094(n)+A095095(n).
%H A036378 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A036378 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A036378 nonn
%O A036378 1,2
%A A036378 Labos E. (labos(AT)ana1.sote.hu), May 13 2004

%I A095005
%S A095005 0,1,2,2,5,8,19,20,48,75,160,242,505,835,1761,2799,5890,10250,20921,
%T A095005 36872,74316,134816,267749,492286,977207,1823657,3598657,6779899,
%U A095005 13336543,25358424,49763462,95140695,186504600
%N A095005 Number of odious primes (A027697) in range ]2^n,2^(n+1)].
%Y A095005 a(n) = A036378(n)-A095006(n).
%H A095005 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095005 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095005 nonn
%O A095005 1,3
%A A095005 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095006
%S A095006 1,1,0,3,2,5,4,23,27,62,95,222,367,777,1269,2910,4859,10140,17714,
%T A095006 36714,66020,133400,245959,493532,916913,1822087,3428633,6782008,
%U A095006 12870735,25339113,48419194,95194890,182818705
%N A095006 Number of evil primes (A027699) in range ]2^n,2^(n+1)].
%Y A095006 a(n) = A036378(n)-A095005(n).
%H A095006 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095006 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095006 nonn
%O A095006 1,4
%A A095006 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A027697
%S A027697 2,7,11,13,19,31,37,41,47,59,61,67,73,79,97,103,107,109,127,131,137,
%T A027697 151,157,167,173,179,181,191,193,199,211,223,227,229,233,239,241,
%U A027697 251,271,283,307,313,331,367,379,397,409,419,421,431,433,439,443
%N A027697 Odious primes: primes with odd number of 1's in binary expansion.
%Y A027697 Complement of A027699 in A000040. Union of A091206{3} and odious members of A091209. Cf. A095005.
%H A027697 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A027697 nonn
%O A027697 1,1
%A A027697 njas, 

%I A027699
%S A027699 3,5,17,23,29,43,53,71,83,89,101,113,139,149,163,197,257,263,269,
%T A027699 277,281,293,311,317,337,347,349,353,359,373,383,389,401,449,461,
%U A027699 467,479,503,509,523,547,571,593,599,619,643,673,683,691,739,751
%N A027699 Evil primes: primes with even number of 1's in binary expansion.
%Y A027699 Complement of A027697 in A000040. Cf. A095006.
%H A027699 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A027699 nonn
%O A027699 1,1
%A A027699 njas, 

%I A095007
%S A095007 0,1,1,2,4,6,10,21,38,66,127,233,432,805,1511,2837,5378,10186,19294,
%T A095007 36827,70157,133975,256852,492882,946848,1823129,3513599,6780412,
%U A095007 13103462,25348870,49090415,95167380,184662052
%N A095007 Number of 4k+1 primes (A002144) in range ]2^n,2^(n+1)].
%Y A095007 a(n) = A036378(n)-A095008(n) = A095009(n)+A095011(n).
%H A095007 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095007 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095007 nonn
%O A095007 1,4
%A A095007 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095008
%S A095008 1,1,1,3,3,7,13,22,37,71,128,231,440,807,1519,2872,5371,10204,19341,
%T A095008 36759,70179,134241,256856,492936,947272,1822615,3513691,6781495,
%U A095008 13103816,25348667,49092241,95168205,184661253
%N A095008 Number of 4k+3 primes (A002145) in range ]2^n,2^(n+1)].
%Y A095008 a(n) = A036378(n)-A095007(n) = A095010(n)+A095012(n) = A095092(n)+,A095093(n).
%H A095008 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095008 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095008 nonn
%O A095008 1,4
%A A095008 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095009
%S A095009 0,0,0,1,1,4,4,10,18,31,64,115,216,398,752,1413,2692,5092,9642,18355,
%T A095009 35089,66907,128431,246479,473201,911650,1756523,3390156,6551387,
%U A095009 12673576,24545135,47583812,92329094
%N A095009 Number of 8k+1 primes (A007519) in range ]2^n,2^(n+1)].
%Y A095009 a(n) = A095013(n)-A095012(n) = A095007(n)-A095011(n). Cf. A091126.
%H A095009 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095009 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095009 nonn
%O A095009 1,6
%A A095009 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095010
%S A095010 1,0,1,1,2,3,7,10,20,35,66,113,218,412,746,1460,2672,5104,9651,18375,
%T A095010 35105,67165,128410,246453,473535,911489,1756670,3390856,6552449,
%U A095010 12673142,24546849,47583904,92330578
%N A095010 Number of 8k+3 primes (A007520) in range ]2^n,2^(n+1)].
%Y A095010 a(n) = A095014(n)-A095011(n) = A095008(n)-A095012(n). Cf. A091127.
%H A095010 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095010 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095010 nonn
%O A095010 1,5
%A A095010 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095011
%S A095011 0,1,1,1,3,2,6,11,20,35,63,118,216,407,759,1424,2686,5094,9652,18472,
%T A095011 35068,67068,128421,246403,473647,911479,1757076,3390256,6552075,
%U A095011 12675294,24545280,47583568,92332958
%N A095011 Number of 8k+5 primes (A007521) in range ]2^n,2^(n+1)].
%Y A095011 a(n) = A095014(n)-A095010(n). Cf. A091128.
%H A095011 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095011 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095011 nonn
%O A095011 1,5
%A A095011 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095012
%S A095012 0,1,0,2,1,4,6,12,17,36,62,118,222,395,773,1412,2699,5100,9690,18384,
%T A095012 35074,67076,128446,246483,473737,911126,1757021,3390639,6551367,
%U A095012 12675525,24545392,47584301,92330675
%N A095012 Number of 8k+7 primes (A007522) in range ]2^n,2^(n+1)].
%Y A095012 a(n) = A095013(n)-A095009(n). Cf. A091129.
%H A095012 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095012 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095012 nonn
%O A095012 1,4
%A A095012 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095013
%S A095013 0,1,0,3,2,8,10,22,35,67,126,233,438,793,1525,2825,5391,10192,19332,
%T A095013 36739,70163,133983,256877,492962,946938,1822776,3513544,6780795,
%U A095013 13102754,25349101,49090527,95168113,184659769
%N A095013 Number of 8k+-1 primes (A001132) in range ]2^n,2^(n+1)].
%Y A095013 a(n) = A036378(n)-A095014(n) = A095009(n)+A095012(n).
%H A095013 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095013 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095013 nonn
%O A095013 1,4
%A A095013 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095014
%S A095014 1,1,2,2,5,5,13,21,40,70,129,231,434,819,1505,2884,5358,10198,19303,
%T A095014 36847,70173,134233,256831,492856,947182,1822968,3513746,6781112,
%U A095014 13104524,25348436,49092129,95167472,184663536
%N A095014 Number of 8k+-3 primes (A003629) in range ]2^n,2^(n+1)].
%Y A095014 a(n) = A036378(n)-A095013(n) = A095010(n)+A095011(n).
%H A095014 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095014 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095014 nonn
%O A095014 1,3
%A A095014 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095015
%S A095015 0,1,1,2,3,7,11,20,37,69,126,228,434,806,1514,2845,5361,10212,19308,
%T A095015 36747,70135,134065,256824,492871,946880,1822913,3513737,6780428,
%U A095015 13103565,25348226,49090715,95167496,184660541
%N A095015 Number of 6k+1 primes (A002476) in range ]2^n,2^(n+1)].
%Y A095015 a(n) = A036378(n)-A095016(n) (apart the initial term).
%H A095015 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095015 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095015 nonn
%O A095015 1,4
%A A095015 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095016
%S A095016 0,1,1,3,4,6,12,23,38,68,129,236,438,806,1516,2864,5388,10178,19327,
%T A095016 36839,70201,134151,256884,492947,947240,1822831,3513553,6781479,
%U A095016 13103713,25349311,49091941,95168089,184662764
%N A095016 Number of 6k+5 primes (A007528) in range ]2^n,2^(n+1)].
%Y A095016 a(n) = A036378(n)-A095015(n) (apart the initial term).
%H A095016 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095016 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095016 nonn
%O A095016 1,4
%A A095016 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095017
%S A095017 1,1,1,2,2,3,7,7,12,26,45,70,113,215,355,666,1153,2071,3785,6965,
%T A095017 12495,22643,41608,76371,140944,261752,484968,904799,1689477,3160113,
%U A095017 5928904,11139071,20970782
%N A095017 Number of lesser twin primes (A001359) in range ]2^n,2^(n+1)].
%Y A095017 Cf. A095016, A036378.
%H A095017 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095017 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095017 nonn
%O A095017 1,4
%A A095017 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095021
%S A095021 0,0,1,1,2,2,7,9,19,33,64,115,216,402,754,1434,2669,5116,9651,18382,
%T A095021 35064,67056,128394,246349,473469,911468,1757069,3389718,6551877,
%U A095021 12674065,24546590,47581820,92330910
%N A095021 Number of 5k+1 primes (A030430) in range ]2^n,2^(n+1)].
%Y A095021 Cf. A036378.
%H A095021 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095021 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095021 nonn
%O A095021 1,5
%A A095021 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095022
%S A095022 0,1,0,1,2,4,5,11,22,33,65,117,220,404,762,1422,2693,5123,9634,18409,
%T A095022 35112,67061,128302,246706,473477,911557,1756669,3390509,6552186,
%U A095022 12674857,24545491,47584387,92331524
%N A095022 Number of 5k+2 primes (A030432) in range ]2^n,2^(n+1)].
%Y A095022 Cf. A036378.
%H A095022 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095022 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095022 nonn
%O A095022 1,5
%A A095022 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095023
%S A095023 1,0,1,1,2,4,5,11,18,36,63,117,220,407,760,1435,2682,5074,9683,18392,
%T A095023 35113,67054,128503,246433,473717,911310,1756933,3390711,6551833,
%U A095023 12673497,24546404,47584981,92331321
%N A095023 Number of 5k+3 primes (A030431) in range ]2^n,2^(n+1)].
%Y A095023 Cf. A036378.
%H A095023 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095023 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095023 nonn
%O A095023 1,5
%A A095023 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095024
%S A095024 0,0,0,2,1,3,6,12,16,35,63,115,216,399,754,1418,2705,5077,9667,18403,
%T A095024 35047,67045,128509,246330,473457,911409,1756619,3390969,6551382,
%U A095024 12675118,24544171,47584397,92329550
%N A095024 Number of 5k+4 primes (A030433) in range ]2^n,2^(n+1)].
%Y A095024 Cf. A036378.
%H A095024 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095024 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095024 nonn
%O A095024 1,4
%A A095024 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095019
%S A095019 0,0,0,1,0,3,3,11,10,40,52,130,154,482,649,1756,2483,6479,9640,24022,
%T A095019 34812,89306,136739,335115,510833,1265350,1982321,4781514,7508064,
%U A095019 18079040,28833595,68709969,110272081
%N A095019 Number of zero-bit dominant primes (A095071) in range ]2^n,2^(n+1)].
%Y A095019 Cf. A095018.
%H A095019 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095019 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095019 nonn
%O A095019 1,6
%A A095019 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095020
%S A095020 1,2,2,4,5,10,16,32,48,97,175,334,529,1130,1850,3953,6276,13911,23248,
%T A095020 49564,81622,178910,300311,650703,1091809,2380394,4062176,8780393,
%U A095020 15021634,32618497,56134342,121625616,209889612
%N A095020 Number of one-bit dominant primes (A095070) in range ]2^n,2^(n+1)].
%Y A095020 Cf. A095018.
%H A095020 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095020 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095020 nonn
%O A095020 1,2
%A A095020 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095018
%S A095018 0,0,2,4,17,28,189,531,1990,5747,23902,76658,291478,982793,3677580,
%T A095018 13214719,49161612
%N A095018 Number of binarily balanced primes (A066196) in range ]2^(2n-1),2^n].
%e A095018 Only primes in range ]2^5,2^6] with equal numbers of ones and zeros in their binary expansion are 37 (in binary 100101) and 41 (in binary 101011) thus a(3)=2.
%Y A095018 Cf. A095005-A095006, A095052-A095053.
%H A095018 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095018 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095018 nonn
%O A095018 1,3
%A A095018 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095052
%S A095052 0,1,3,10,25,78,283,906,3044,10920,37920,135182,487555,1764216,6415902,
%T A095052 23585285
%N A095052 Number of primes with number of 0-bits equal to one plus number of 1-bits (A095072) in range ]2^2n,2^(2n+1)].
%e A095052 In range ]2^4,2^5] 17 (10001 in binary) is only such prime thus a(2)=1.
%Y A095052 Cf. A095018.
%H A095052 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095052 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095052 nonn
%O A095052 1,3
%A A095052 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095053
%S A095053 1,1,5,11,28,105,362,1093,3659,13001,45171,159510,563833,2008295,
%T A095053 7333827,26730538
%N A095053 Number of primes with number of 1-bits equal to one plus number 0-bits (A095073) in range ]2^2n,2^(2n+1)].
%e A095053 In range ]2^2,2^3] 5 (101 in binary) is only such prime thus a(1)=1, and similarly, in range ]2^4,2^5] 19 (10011 in binary) is also unique in that respect, thus a(2)=1 as well.
%Y A095053 Cf. A095018.
%H A095053 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095053 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095053 nonn
%O A095053 1,3
%A A095053 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095054
%S A095054 1,2,2,4,7,10,20,32,65,97,203,334,718,1130,2381,3953,8266,13911,28995,
%T A095054 49564,105524,178910,376969,650703,1383287,2380394,5044969,8780393,
%U A095054 18699214,32618497,69349061,121625616,259051224
%N A095054 Number of primes with #0-bits <= #1-bits (A095074) in range ]2^n,2^(n+1)].
%Y A095054 a(n) = A095020(n) + (if n is odd) A095018((n+1)/2).
%H A095054 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095054 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095054 nonn
%O A095054 1,2
%A A095054 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095055
%S A095055 0,0,0,1,2,3,7,11,27,40,80,130,343,482,1180,1756,4473,6479,15387,
%T A095055 24022,58714,89306,213397,335115,802311,1265350,2965114,4781514,11185644,
%U A095055 18079040,42048314,68709969,159433693
%N A095055 Number of primes with #1-bits <= #0-bits (A095075) in range ]2^n,2^(n+1)].
%Y A095055 a(n) = A095019(n) + (if n is odd) A095018((n+1)/2).
%H A095055 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095055 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095055 nonn
%O A095055 1,5
%A A095055 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095056
%S A095056 0,1,2,1,2,3,3,0,4,2,3,2,2,2,4,1,3,4,5,3,2,1,5,1,0,2,5,2,2,8,6,0,
%T A095056 5
%N A095056 Number of primes with three 1-bits (A081091) in range ]2^n,2^(n+1)].
%Y A095056 Cf. A095018.
%H A095056 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095056 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095056 nonn
%O A095056 1,3
%A A095056 Labos E. (labos(AT)ana1.sote.hu) & Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095057
%S A095057 0,0,0,2,2,5,4,10,6,13,11,9,16,16,18,25,15,19,15,37,17,37,29,29,32,
%T A095057 40,23,49,31,51,39,37,30
%N A095057 Number of primes with four 1-bits (A095077) in range ]2^n,2^(n+1)].
%Y A095057 Cf. A095018.
%H A095057 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095057 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095057 nonn
%O A095057 1,4
%A A095057 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095058
%S A095058 0,1,2,2,3,0,4,4,3,1,5,1,4,0,3,2,8,1,11,4,5,0,7,1,2,0,1,5,4,0,7,5,
%T A095058 1
%N A095058 Number of primes with a single 0-bit (A095078) in range ]2^n,2^(n+1)].
%Y A095058 Cf. A095018.
%H A095058 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095058 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095058 nonn
%O A095058 1,3
%A A095058 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095059
%S A095059 0,0,0,1,2,4,0,9,5,14,4,16,9,18,0,21,21,21,7,41,22,31,5,37,20,33,
%T A095059 14,37,45,47,0,69,31
%N A095059 Number of primes with two 0-bits (A095079) in range ]2^n,2^(n+1)].
%Y A095059 Cf. A095018.
%H A095059 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095059 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095059 nonn
%O A095059 1,5
%A A095059 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095070
%S A095070 3,5,7,11,13,19,23,29,31,43,47,53,59,61,71,79,83,89,101,103,107,109,
%T A095070 113,127,151,157,167,173,179,181,191,199,211,223,227,229,233,239,
%U A095070 241,251,271,283,307,311,313,317,331,347,349,359,367,373,379,383
%N A095070 One-bit dominant primes, i.e. primes whose binary expansion contains more 1's than 0's.
%Y A095070 Intersect of A000040 & A072600. Complement of A095075 in A000040. Subset: A095073. Cf. A095020.
%H A095070 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095070 nonn
%O A095070 1,1
%A A095070 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095071
%S A095071 17,67,73,97,131,137,193,257,263,269,277,281,293,337,353,389,401,
%T A095071 449,521,523,547,577,593,641,643,673,769,773,1031,1033,1039,1049,
%U A095071 1051,1061,1063,1069,1091,1093,1097,1109,1123,1129,1153,1163,1171
%N A095071 Zero-bit dominant primes, i.e. primes whose binary expansion contains more 0's than 1's.
%Y A095071 Complement of A095074 in A000040. Subset: A095072. Cf. A095019.
%H A095071 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095071 nonn
%O A095071 1,1
%A A095071 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095072
%S A095072 17,67,73,97,263,269,277,281,293,337,353,389,401,449,1039,1051,1063,
%T A095072 1069,1109,1123,1129,1163,1171,1187,1193,1201,1249,1291,1301,1321,
%U A095072 1361,1543,1549,1571,1609,1667,1669,1697,1801,4127,4157,4211,4217
%N A095072 Primes in whose binary expansion the number of 0-bits is one more than the number of 1-bits.
%Y A095072 Intersect of A000040 & A031444. Subset of A095071. Cf. A095052.
%H A095072 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095072 nonn
%O A095072 1,1
%A A095072 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095073
%S A095073 5,19,71,83,89,101,113,271,283,307,313,331,397,409,419,421,433,457,
%T A095073 1103,1117,1181,1223,1229,1237,1303,1307,1319,1381,1427,1429,1433,
%U A095073 1481,1489,1559,1579,1607,1613,1619,1621,1637,1699,1733,1811,1861
%N A095073 Primes in whose binary expansion the number of 1-bits is one more than the number of 0-bits.
%Y A095073 Intersect of A000040 & A031448. Subset of A095070. Cf. A095053.
%H A095073 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095073 nonn
%O A095073 1,1
%A A095073 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095074
%S A095074 2,3,5,7,11,13,19,23,29,31,37,41,43,47,53,59,61,71,79,83,89,101,103,
%T A095074 107,109,113,127,139,149,151,157,163,167,173,179,181,191,197,199,
%U A095074 211,223,227,229,233,239,241,251,271,283,307,311,313,317,331,347
%N A095074 Primes in whose binary expansion the number of 0-bits is less than or equal to number of 1-bits.
%Y A095074 Complement of A095071 in A000040. Differs from A057447 first time at n=18, where a(n)=71, while A057447(18)=67. Cf. A095054.
%H A095074 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095074 nonn
%O A095074 1,1
%A A095074 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095075
%S A095075 2,17,37,41,67,73,97,131,137,139,149,163,193,197,257,263,269,277,
%T A095075 281,293,337,353,389,401,449,521,523,541,547,557,563,569,577,587,
%U A095075 593,601,613,617,641,643,647,653,659,661,673,677,709,769,773,787
%N A095075 Primes in whose binary expansion the number of 1-bits is less than or equal to number of 0-bits.
%Y A095075 Complement of A095070 in A000040. Cf. A095055.
%H A095075 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095075 nonn
%O A095075 1,1
%A A095075 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095077
%S A095077 23,29,43,53,71,83,89,101,113,139,149,163,197,263,269,277,281,293,
%T A095077 337,353,389,401,449,523,547,593,643,673,773,1031,1049,1061,1091,
%U A095077 1093,1097,1217,1283,1289,1297,1409,1553,1601,2069,2083,2089,2129
%N A095077 Primes with four 1-bits in their binary expansion.
%Y A095077 Subset of A027699. Differs from A085448 first time at n=19, where a(n)=337, while A085448 continues from there with 311, whose binary expansion has six 1-bits, not four. Cf. A095057.
%H A095077 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095077 nonn
%O A095077 1,1
%A A095077 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095078
%S A095078 2,5,11,13,23,29,47,59,61,191,223,239,251,383,479,503,509,991,1019,
%T A095078 1021,2039,3583,3967,4079,4091,4093,6143,15359,16127,16319,16381,
%U A095078 63487,65407,65519,129023,131063,245759,253951,261631,261887,262079
%N A095078 Primes with a single 0-bit in their binary expansion.
%Y A095078 Intersect of A000040 & A030130. Cf. A095058.
%H A095078 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095078 nonn
%O A095078 1,1
%A A095078 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095079
%S A095079 19,43,53,79,103,107,109,367,379,431,439,443,463,487,491,499,751,
%T A095079 863,887,983,1013,1279,1471,1531,1663,1759,1783,1787,1789,1951,1979,
%U A095079 1999,2011,2027,2029,3067,3581,3823,4027,5119,6079,6911,7039,7103
%N A095079 Primes with two 0-bits in their binary expansion.
%Y A095079 Cf. A095059.
%H A095079 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095079 nonn
%O A095079 1,1
%A A095079 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095060
%S A095060 1,2,2,3,3,9,16,25,50,83,150,286,540,975,1865,3515,6588,12620,23835,
%T A095060 45486,86811,165822,317770,608517,1170182,2254124,4342530,8383468,
%U A095060 16197159,31335332,60680818,117633364,228260489
%N A095060 Number of fibeven primes (A095080) in range ]2^n,2^(n+1)].
%Y A095060 a(n) = A036378(n)-A095061(n) = A095062(n)+A095067(n).
%H A095060 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095060 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095060 nonn
%O A095060 1,2
%A A095060 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095080
%S A095080 2,3,5,7,11,13,23,29,31,37,41,47,71,73,79,83,89,97,107,109,113,131,
%T A095080 139,149,151,157,167,173,181,191,193,199,223,227,233,241,251,257,
%U A095080 269,277,283,293,311,317,337,353,359,367,379,397,401,409,419,421
%N A095080 Fibeven primes, i.e. primes p whose Zeckendorf-expansion A014417(p) ends with zero.
%Y A095080 Intersect of A000040 & A022342. Union of A095082 & A095087. Cf. A095060, A095081.
%H A095080 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095080 nonn
%O A095080 1,1
%A A095080 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095061
%S A095061 0,0,0,2,4,4,7,18,25,54,105,178,332,637,1165,2194,4161,7770,14800,
%T A095061 28100,53525,102394,195938,377301,723938,1391620,2684760,5178439,
%U A095061 10010119,19362205,37501838,72702221,141062816
%N A095061 Number of fibodd primes (A095081) in range ]2^n,2^(n+1)].
%Y A095061 a(n) = A036378(n)-A095060(n) = A095066(n)+A095069(n).
%H A095061 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095061 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095061 nonn
%O A095061 1,4
%A A095061 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095081
%S A095081 17,19,43,53,59,61,67,101,103,127,137,163,179,197,211,229,239,263,
%T A095081 271,281,307,313,331,347,349,373,383,389,433,449,457,467,491,499,
%U A095081 509,569,577,593,601,619,643,653,661,677,739,773,787,797,821,823
%N A095081 Fibodd primes, i.e. primes p whose Zeckendorf-expansion A014417(p) ends with one.
%Y A095081 Intersect of A000040 & A003622. Union of A095086 & A095089. Cf. A095061, A095080.
%H A095081 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095081 nonn
%O A095081 1,1
%A A095081 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095062
%S A095062 1,1,2,1,2,7,12,14,27,50,91,178,335,611,1156,2147,4042,7831,14724,
%T A095062 28227,53736,102482,196303,376121,723408,1393572,2683465,5180304,
%U A095062 10009707,19366479,37509260,72706948,141074303
%N A095062 Number of fib00 primes (A095082) in range ]2^n,2^(n+1)].
%Y A095062 a(n) = A095060(n)-A095067(n) = A095065(n)+A095068(n).
%H A095062 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095062 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095062 nonn
%O A095062 1,3
%A A095062 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095082
%S A095082 3,5,11,13,29,37,47,71,73,79,89,97,107,113,131,139,149,157,173,181,
%T A095082 191,199,223,233,241,251,257,283,293,317,359,367,401,409,419,443,
%U A095082 461,479,487,503,521,547,563,571,587,613,631,647,673,683,691,733
%N A095082 Fib00 primes, i.e. primes p whose Zeckendorf-expansion A014417(p) ends with two zeros.
%Y A095082 Cf. A095062. Intersect of A000040 & A026274. Union of A095085 & A095088.
%H A095082 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095082 nonn
%O A095082 1,1
%A A095082 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095065
%S A095065 0,1,1,1,1,4,9,6,19,28,54,109,210,373,707,1316,2497,4827,9127,17467,
%T A095065 33212,63161,121404,232455,446846,860466,1658020,3200462,6184814,
%U A095065 11971998,23184215,44934259,87179855
%N A095065 Number of fib000 primes (A095085) in range ]2^n,2^(n+1)].
%Y A095065 a(n) = A095062(n)-A095068(n). Cf. A095066-A095067.
%H A095065 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095065 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095065 nonn
%O A095065 1,6
%A A095065 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095085
%S A095085 5,13,29,47,73,89,97,107,131,149,157,173,191,199,233,241,251,293,
%T A095085 317,419,461,479,487,521,547,563,631,673,683,691,733,751,809,827,
%U A095085 877,911,919,937,953,971,1013,1021,1039,1063,1097,1123,1249,1259
%N A095085 Fib000 primes, i.e. primes p whose Zeckendorf-expansion A014417(p) ends with three zeros.
%Y A095085 Intersect of A000040 & A095097. Cf. A095065.
%H A095085 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095085 nonn
%O A095085 1,1
%A A095085 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095066
%S A095066 0,0,0,1,3,1,6,9,15,34,63,114,206,386,725,1366,2601,4803,9144,17331,
%T A095066 33106,63067,121112,233785,447721,860033,1659656,3200843,6188292,
%U A095066 11966122,23175696,44928209,87187514
%N A095066 Number of fib001 primes (A095086) in range ]2^n,2^(n+1)].
%Y A095066 a(n) = A095061(n)-A095069(n). Cf. A095065 & A095067.
%H A095066 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095066 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095066 nonn
%O A095066 1,5
%A A095066 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095086
%S A095086 19,43,53,61,103,137,163,179,197,229,239,263,281,307,331,349,383,
%T A095086 433,467,509,569,577,619,653,739,773,797,823,839,857,883,907,941,
%U A095086 967,1009,1051,1061,1069,1103,1129,1153,1171,1187,1213,1229,1289
%N A095086 Fib001 primes, i.e. primes p whose Zeckendorf-expansion A014417(p) ends with two zeros and final 1.
%Y A095086 Intersect of A000040 & A095098. Cf. A095066.
%H A095086 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095086 nonn
%O A095086 1,1
%A A095086 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095067
%S A095067 0,1,0,2,1,2,4,11,23,33,59,108,205,364,709,1368,2546,4789,9111,17259,
%T A095067 33075,63340,121467,232396,446774,860552,1659065,3203164,6187452,
%U A095067 11968853,23171558,44926416,87186186
%N A095067 Number of fib010 primes (A095087) in range ]2^n,2^(n+1)].
%Y A095067 a(n) = A095060(n)-A095062(n).
%H A095067 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095067 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095067 nonn
%O A095067 1,4
%A A095067 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095087
%S A095087 7,23,31,41,83,109,151,167,193,227,269,277,311,337,353,379,397,421,
%T A095087 431,439,463,523,541,557,599,607,617,641,659,701,709,719,727,743,
%U A095087 761,769,811,829,853,863,887,929,947,997,1031,1049,1091,1117,1151
%N A095087 Fib010 primes, i.e. primes p whose Zeckendorf-expansion A014417(p) ends with zero, one and zero.
%Y A095087 Intersect of A000040 & A035336. Cf. A095067.
%H A095087 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095087 nonn
%O A095087 1,1
%A A095087 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095068
%S A095068 1,0,1,0,1,3,3,8,8,22,37,69,125,238,449,831,1545,3004,5597,10760,
%T A095068 20524,39321,74899,143666,276562,533106,1025445,1979842,3824893,7394481,
%U A095068 14325045,27772689,53894448
%N A095068 Number of fib100 primes (A095088) in range ]2^n,2^(n+1)].
%Y A095068 a(n) = A095062(n)-A095065(n).
%H A095068 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095068 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095068 nonn
%O A095068 1,6
%A A095068 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095088
%S A095088 3,11,37,71,79,113,139,181,223,257,283,359,367,401,409,443,503,571,
%T A095088 587,613,647,757,859,977,1019,1087,1163,1181,1223,1231,1291,1307,
%U A095088 1367,1409,1451,1511,1553,1579,1613,1621,1663,1697,1723,1867,1901
%N A095088 Fib100 primes, i.e. primes p whose Zeckendorf-expansion A014417(p) ends with one and two final zeros.
%Y A095088 Intersect of A000040 & A035337. Cf. A095068.
%H A095088 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095088 nonn
%O A095088 1,1
%A A095088 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095069
%S A095069 0,0,0,1,1,3,1,9,10,20,42,64,126,251,440,828,1560,2967,5656,10769,
%T A095069 20419,39327,74826,143516,276217,531587,1025104,1977596,3821827,7396083,
%U A095069 14326142,27774012,53875302
%N A095069 Number of fib101 primes (A095089) in range ]2^n,2^(n+1)].
%Y A095069 a(n) = A095061(n)-A095066(n).
%H A095069 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095069 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095069 nonn
%O A095069 1,6
%A A095069 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095089
%S A095089 17,59,67,101,127,211,271,313,347,373,389,449,457,491,499,593,601,
%T A095089 643,661,677,787,821,881,983,991,1033,1093,1109,1237,1279,1321,1381,
%U A095089 1423,1499,1559,1567,1601,1609,1669,1753,1787,1847,1889,1931,1999
%N A095089 Fib101 primes, i.e. primes p whose Zeckendorf-expansion A014417(p) ends as one, zero, one.
%Y A095089 Intersect of A000040 & A095099. Cf. A095069.
%H A095089 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095089 nonn
%O A095089 1,1
%A A095089 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095063
%S A095063 1,1,1,3,4,7,14,22,41,70,133,261,433,800,1468,2883,5445,10033,19388,
%T A095063 36902,70168,134005,256771,493088,947153,1822376,3514806,6780667,
%U A095063 13103439,25351723,49085715,95166843,184656849
%N A095063 Number of fibodious primes (A095083) in range ]2^n,2^(n+1)].
%Y A095063 a(n) = A036378(n)-A095064(n).
%H A095063 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095063 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095063 nonn
%O A095063 1,4
%A A095063 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095083
%S A095083 2,3,5,13,17,19,31,41,43,59,61,71,73,79,89,103,107,113,131,151,167,
%T A095083 173,179,181,191,197,211,227,229,233,239,251,257,269,293,307,313,
%U A095083 347,349,353,367,383,401,419,431,433,449,457,463,467,479,487,491
%N A095083 Fibodious primes, i.e. primes p whose Zeckendorf-expansion A014417(p) contains an odd number of 1-fibits.
%Y A095083 Intersect of A000040 & A020899. Cf. A095084, A095063.
%H A095083 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095083 nonn
%O A095083 1,1
%A A095083 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095064
%S A095064 0,1,1,2,3,6,9,21,34,67,122,203,439,812,1562,2826,5304,10357,19247,
%T A095064 36684,70168,134211,256937,492730,946967,1823368,3512484,6781240,
%U A095064 13103839,25345814,49096941,95168742,184666456
%N A095064 Number of fibevil primes (A095084) in range ]2^n,2^(n+1)].
%Y A095064 a(n) = A036378(n)-A095063(n).
%H A095064 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095064 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095064 nonn
%O A095064 1,4
%A A095064 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095084
%S A095084 7,11,23,29,37,47,53,67,83,97,101,109,127,137,139,149,157,163,193,
%T A095084 199,223,241,263,271,277,281,283,311,317,331,337,359,373,379,389,
%U A095084 397,409,421,439,443,461,499,503,521,547,557,563,577,593,601,607
%N A095084 Fibevil primes, i.e. primes p whose Zeckendorf-expansion A014417(p) contains an even number of 1-fibits.
%Y A095084 Intersect of A000040 & A095096. Cf. A095083, A095064.
%H A095084 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095084 nonn
%O A095084 1,1
%A A095084 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004


%I A095092
%S A095092 1,1,1,2,2,4,7,10,16,30,51,88,153,277,509,905,1660,3079,5535,10234,
%T A095092 19053
%N A095092 Number of 4k+3 primes whose Legendre-vector is a Dyck-path (A095102) in range ]2^n,2^(n+1)].
%Y A095092 a(n) = A095008(n)-A095093(n). Cf. A095090.
%H A095092 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095092 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095092 nonn
%O A095092 1,4
%A A095092 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095102
%S A095102 3,7,11,23,31,47,59,71,79,83,103,131,151,167,191,199,239,251,263,
%T A095102 271,311,359,383,419,431,439,479,503,563,599,607,647,659,719,743,
%U A095102 751,839,863,887,911,919,971,983,991,1031,1039,1063,1091,1103,1151
%N A095102 Odd primes p for which all sums Sum_{i=1..u} L(i/p) (with u ranging from 1 to (p-1)) are nonnegative, where L(i/p) is Legendre symbol of i and p, defined to be 1 if i is a quadratic residue (mod p) and -1 if i is a quadratic non-residue (mod p).
%C A095102 All 4k+3 primes whose Legendre-vector (cf. A055094) forms a valid Dyck-path (cf. A014486).
%Y A095102 Intersect of A000040 & A095100. Subset of A080114 (see comments there). Complement of A095103 in A002145. a(n) = 4*A095272(n)+3. Cf. A095092.
%H A095102 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095102 nonn
%O A095102 1,1
%A A095102 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095093
%S A095093 0,0,0,1,1,3,6,12,21,41,77,143,287,530,1010,1967,3711,7125,13806,
%T A095093 26525,51126
%N A095093 Number of 4k+3 primes whose Legendre-vector is not Dyck-path (A095103) in range ]2^n,2^(n+1)].
%Y A095093 a(n) = A095008(n)-A095092(n).
%H A095093 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095093 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095093 nonn
%O A095093 1,6
%A A095093 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095103
%S A095103 19,43,67,107,127,139,163,179,211,223,227,283,307,331,347,367,379,
%T A095103 443,463,467,487,491,499,523,547,571,587,619,631,643,683,691,727,
%U A095103 739,787,811,823,827,859,883,907,947,967,1019,1051,1087,1123,1163
%N A095103 4k+3 primes whose Legendre-vector is not valid Dyck-path.
%Y A095103 Intersect of A000040 & A095101. Complement of A095102 in A002145. Diving indices: A095108. a(n) = 4*A095273(n)+3. Cf. also A095093.
%H A095103 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095103 nonn
%O A095103 1,1
%A A095103 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095094
%S A095094 1,2,2,2,3,4,7,10,16,30,51,88,153,277,509,905,1660,3079,5535,10234,
%T A095094 19053
%N A095094 Number of A080114-primes in range ]2^n,2^(n+1)].
%Y A095094 a(n) = A036378(n)-A095095(n).
%H A095094 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095094 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095094 nonn
%O A095094 1,2
%A A095094 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A080114
%S A080114 3,5,7,11,13,23,31,37,47,59,71,79,83,103,131,151,167,191,199,239,
%T A080114 251,263,271,311,359,383,419,431,439,479,503,563,599,607,647,659,
%U A080114 719,743,751,839,863,887,911,919,971,983,991,1031,1039,1063,1091
%N A080114 Odd primes p for which all sums Sum_{i=1..u} L(i/p) (with u ranging from 1 to (p-1)/2) are nonnegative, where L(i/p) is Legendre symbol of i and p, which is defined to be 1 if i is a quadratic residue (mod p) and -1 if i is a quadratic non-residue (mod p).
%Y A080114 Intersect of A000040 & A0xxxxx. Subset: A095102. Complement of A080115 in A000040. Cf. A095094.
%H A080114 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A080114 nonn
%O A080114 1,1
%A A080114 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Feb 11 2003

%I A095095
%S A095095 0,0,0,3,4,9,16,33,59,107,204,376,719,1335,2521,4804,9089,17311,
%T A095095 33100,63352,121283
%N A095095 Number of A080115-primes in range ]2^n,2^(n+1)].
%Y A095095 a(n) = A036378(n)-A095094(n).
%H A095095 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095095 <a href="http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>
%K A095095 nonn
%O A095095 1,4
%A A095095 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A080115
%S A080115 2,17,19,29,41,43,53,61,67,73,89,97,101,107,109,113,127,137,139,149,
%T A080115 157,163,173,179,181,193,197,211,223,227,229,233,241,257,269,277,
%U A080115 281,283,293,307,313,317,331,337,347,349,353,367,373,379,389,397
%N A080115 Primes not in A080114.
%Y A080115  Complement of A080114 in A000040. Cf. A095095.
%H A080115 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A080115 nonn
%O A080115 1,1
%A A080115 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Feb 11 2003

%I A095104
%S A095104 0,0,0,3,0,0,3,0,0,3,0,0,0,0,7,7,0,3,0,3,0,11,0,0,3,13,61,0,0,0,0,
%T A095104 3,3,0,3,7,0,45,3,0,0,0,0,7,7,35,0,7,35,3,0,3,3,0,3,15,0,0,3,15,3,
%U A095104 0,0,7,3,0,45,3,0,0,3,3,7,7,0,3,0,3,0,3,0,0,7,7,0,0,0,67,0,0,3,0
%N A095104 Diving index of the nth 4k+3 prime (A002145(n)).
%C A095104 Diving index of an odd number n is the first integer u > 1 where  Sum_{i=1..u} J(i/n) results -1, and zero if never. Here J(i/n) is Jacobi symbol of i and n, which reduces to a Legendre symbol L(i/n) when n is a prime.
%Y A095104 a(n)=A095105(n)+1 modulo A002145(n). Cf. A095106, A095108 (same sequence with zeros removed), A095269.
%H A095104 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095104 nonn
%O A095104 1,4
%A A095104 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095108
%S A095108 3,3,3,7,7,3,3,11,3,13,61,3,3,3,7,45,3,7,7,35,7,35,3,3,3,3,15,3,15,
%T A095108 3,7,3,45,3,3,3,7,7,3,3,3,7,7,67,3,7,3,7,3,7,57,7,3,7,15,7,45,7,23,
%U A095108 3,3,11,7,3,89,13,55,3,45,35,3,7,7,3,3,3,13,7,15,3,19,3,7,3,7,3,99
%N A095108 Diving index of the nth diving 4k+3 prime (A095103(n)).
%Y A095108 Non-zero terms of A095104. Cf. A095271.
%H A095108 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095108 nonn
%O A095108 1,1
%A A095108 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095105
%S A095105 2,6,10,2,22,30,2,46,58,2,70,78,82,102,6,6,130,2,150,2,166,10,190,
%T A095105 198,2,12,60,238,250,262,270,2,2,310,2,6,358,44,2,382,418,430,438,
%U A095105 6,6,34,478,6,34,2,502,2,2,562,2,14,598,606,2,14,2,646,658,6,2,718
%N A095105 Length of max. Dyck path prefix in the Legendre-vector of the nth 4k+3 prime (A002145(n)).
%Y A095105 a(n)=A095104(n)-1 modulo A002145(n). Cf. A095107, A095270.
%H A095105 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095105 nonn
%O A095105 1,1
%A A095105 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095106
%S A095106 0,0,0,3,3,17,94,158,213,571,1987,3163,27993,45176,205432,707079,
%T A095106 2319521,7603409,25967812,83981455,310267532
%N A095106 Sum of diving indices of all 4k+3 primes in range ]2^n,2^(n+1)].
%Y A095106 Cf. A095104, A095107, A095109.
%H A095106 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095106 nonn
%O A095106 1,4
%A A095106 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095107
%S A095107 2,6,10,54,106,346,1410,3994,12828,46242,158252,542568,1865796,
%T A095107 6822592,25120772,88926198,327561126,1212380122,4358259840,
%U A095107 16111686770,59936356888
%N A095107 Sum of max Dyck path prefix lengths of all 4k+3 primes in range ]2^n,2^(n+1)].
%Y A095107 Cf. A095105, A095106, A095110.
%H A095107 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095107 nonn
%O A095107 1,1
%A A095107 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095272
%S A095272 0,1,2,5,7,11,14,17,19,20,25,32,37,41,47,49,59,62,65,67,77,89,95,
%T A095272 104,107,109,119,125,140,149,151,161,164,179,185,187,209,215,221,
%U A095272 227,229,242,245,247,257,259,265,272,275,287,305,307,319,329,349
%N A095272 a(n) = (A095102(n)-3)/4.
%Y A095272 Complement of A095273 in A095276, subset of A095274.
%H A095272 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095272 nonn
%O A095272 1,3
%A A095272 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095273
%S A095273 4,10,16,26,31,34,40,44,52,55,56,70,76,82,86,91,94,110,115,116,121,
%T A095273 122,124,130,136,142,146,154,157,160,170,172,181,184,196,202,205,
%U A095273 206,214,220,226,236,241,254,262,271,280,290,292,296,314,320,322
%N A095273 a(n) = (A095103(n)-3)/4.
%Y A095273 Complement of A095272 in A095276, subset of A095275.
%H A095273 A. Karttunen, J. Moyer: <a href="http://www.research.att.com/~njas/sequences/primestats.c.txt">C-program for computing the initial terms of this sequence</a>
%K A095273 nonn
%O A095273 1,1
%A A095273 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004

%I A095076
%S A095076 0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,
%T A095076 1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,
%U A095076 0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0
%N A095076 Parity of 1-fibits in Zeckendorf expansion A014417(n).
%Y A095076 a(n) = A010060(A003714(n)). a(n) = 1 - A095111(n). Characteristic function of A020899. Run counts are given by A095276.
%K A095076 nonn
%O A095076 0,1
%A A095076 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A095111
%S A095111 1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,
%T A095111 0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,
%U A095111 1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1
%N A095111 One minus the parity of 1-fibits in Zeckendorf expansion A014417(n).
%Y A095111 a(n) = A010059(A003714(n)). a(n) = 1 - A095076(n). Characteristic function of A095096. Run counts are given by A095276.
%K A095111 nonn
%O A095111 0,1
%A A095111 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A020899
%S A020899 1,2,3,5,8,12,13,17,19,20,21,25,27,28,30,31,32,34,38,40,41,43,44,45,
%T A020899 48,49,50,52,55,59,61,62,64,65,66,69,70,71,73,77,78,79,81,84,88,89,93,
%U A020899 95,96,98,99,100,103,104,105,107,111,112,113,115,118,122,124,125,126
%N A020899 Fibodious numbers: those n for which the parity of 1-fibits in Zeckendorf expansion A014417(n) is odd, i.e. for which A095076(n)=1.
%Y A020899 Complement of A095096. Cf. A000069 (odious numbers), A095083 (fibodious primes).
%K A020899 nonn
%O A020899 0,2
%A A020899 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A095096
%S A095096 0,4,6,7,9,10,11,14,15,16,18,22,23,24,26,29,33,35,36,37,39,42,46,47,
%T A095096 51,53,54,56,57,58,60,63,67,68,72,74,75,76,80,82,83,85,86,87,90,91,92,
%U A095096 94,97,101,102,106,108,109,110,114,116,117,119,120,121,123,127,129
%N A095096 Fibevil numbers: those n for which the parity of 1-fibits in Zeckendorf expansion A014417(n) is even, i.e. for which A095076(n)=0.
%Y A095096 Characteristic function: A095111. Complement of A020899. Cf. A001969 (evil numbers), A095084 (fibevil primes).
%K A095096 nonn
%O A095096 0,2
%A A095096 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A026274
%S A026274 3,5,8,11,13,16,18,21,24,26,29,32,34,37,39,42,45,47,50,52,55,58,60,63,
%T A026274 66,68,71,73,76,79,81,84,87,89,92,94,97,100,102,105,107,110,113,115,
%U A026274 118,121,123,126,128,131,134,136,139,141,144,147,149,152,155,157,160
%N A026274 Fib00 numbers: those n for which the Zeckendorf expansion A014417(n) ends with two zeros.
%Y A026274 Set-wise difference of A022342 - A035336. Union of A095097 & A035337. Cf. A095082 (fib00 primes).
%K A026274 nonn
%O A026274 1,1
%A A026274 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A095097
%S A095097 8,13,18,21,26,29,34,39,42,47,52,55,60,63,68,73,76,81,84,89,94,97,102,
%T A095097 107,110,115,118,123,128,131,136,141,144,149,152,157,162,165,170,173,
%U A095097 178,183,186,191,196,199,204,207,212,217,220,225,228,233,238,241,246
%N A095097 Fib000 numbers: those n for which the Zeckendorf expansion A014417(n) ends with three zeros.
%Y A095097 Set-wise difference of A026274 - A035337. Cf. A095085 (fib000 primes).
%K A095097 nonn
%O A095097 1,1
%A A095097 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A095098
%S A095098 6,9,14,19,22,27,30,35,40,43,48,53,56,61,64,69,74,77,82,85,90,95,98,
%T A095098 103,108,111,116,119,124,129,132,137,142,145,150,153,158,163,166,171,
%U A095098 174,179,184,187,192,197,200,205,208,213,218,221,226,229,234,239,242
%N A095098 Fib001 numbers: those n for which the Zeckendorf expansion A014417(n) ends with two zeros and a final one.
%Y A095098 Set-wise difference of A003622 - A095099. Cf. A095086 (fib001 primes).
%K A095098 nonn
%O A095098 1,1
%A A095098 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A035336
%S A035336 7,10,15,20,23,28,31,36,41,44,49,54,57,62,65,70,75,78,83,86,91,96,99,
%T A035336 104,109,112,117,120,125,130,133,138,143,146,151,154,159,164,167,172,
%U A035336 175,180,185,188,193,198,201,206,209,214,219,222,227,230,235,240,243
%N A035336 Fib010 numbers: those n for which the Zeckendorf expansion A014417(n) ends with zero, one, zero.
%Y A035336 Set-wise difference of A022342 - A026274. Cf. A095087 (fib010 primes).
%K A035336 nonn
%O A035336 1,1
%A A035336 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A035337
%S A035337 11,16,24,32,37,45,50,58,66,71,79,87,92,100,105,113,121,126,134,139,
%T A035337 147,155,160,168,176,181,189,194,202,210,215,223,231,236,244,249,257,
%U A035337 265,270,278,283,291,299,304,312,320,325,333,338,346,354,359,367,372
%N A035337 Fib100 numbers: those n for which the Zeckendorf expansion A014417(n) ends with one and two final zeros.
%Y A035337 Set-wise difference of A026274 - A095097. Cf. A095088 (fib100 primes).
%K A035337 nonn
%O A035337 1,1
%A A035337 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A095099
%S A095099 12,17,25,33,38,46,51,59,67,72,80,88,93,101,106,114,122,127,135,140,
%T A095099 148,156,161,169,177,182,190,195,203,211,216,224,232,237,245,250,258,
%U A095099 266,271,279,284,292,300,305,313,321,326,334,339,347,355,360,368,373
%N A095099 Fib101 numbers: those n for which the Zeckendorf expansion A014417(n) ends with one, zero, one.
%Y A095099 Set-wise difference of A003622 - A095098. Cf. A095089 (fib101 primes).
%K A095099 nonn
%O A095099 1,1
%A A095099 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A095276
%S A095276 1,3,1,1,2,1,3,2,3,1,1,3,3,1,1,2,1,3,1,1,3,1,1,2,1,3,2,3,1,1,2,1,3,1,
%T A095276 1,2,1,3,2,3,1,1,3,3,1,1,2,1,3,2,3,1,1,2,1,3,2,3,1,1,3,3,1,1,2,1,3,1,
%U A095276 1,3,1,1,2,1,3,2,3,1,1,3,3,1,1,2,1,3,2,3,1,1,3,3,1,1,2,1,3,1,1,3,1,1
%N A095276 Length of n-th run of identical symbols in A095076 & A095111.
%Y A095276 Partials sums: A095279. Cf. also A026465.
%K A095276 nonn
%O A095276 1,2
%A A095276 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A095277
%S A095277 3,6,8,9,12,13,15,18,21,22,23,24,27,28,29,30,33,35,36,38,39,42,43,45,
%T A095277 46,48,50,51,53,54,57,58,60,61,63,64,66,68,69,71,72,73,74,75,78,79,80,
%U A095277 81,83,84,85,87,88,90,92,93,96,97,98,99,100,101,102,103,105,106,108
%N A095277 Numbers n such that 4n+3 is composite.
%Y A095277 a(n) = (A091236(n)-3)/4. Complement of A095278. Cf. also A045751.
%K A095277 nonn
%O A095277 1,1
%A A095277 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A095278
%S A095278 0,1,2,4,5,7,10,11,14,16,17,19,20,25,26,31,32,34,37,40,41,44,47,49,52,
%T A095278 55,56,59,62,65,67,70,76,77,82,86,89,91,94,95,104,107,109,110,115,116,
%U A095278 119,121,122,124,125,130,136,140,142,146,149,151,154,157,160,161,164
%N A095278 Numbers n such that 4n+3 is prime.
%Y A095278 a(n) = (A002145(n)-3)/4. Complement of A095277. Cf. also A005098.
%K A095278 nonn
%O A095278 1,3
%A A095278 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004

%I A095279
%S A095279 1,4,5,6,8,9,12,14,17,18,19,22,25,26,27,29,30,33,34,35,38,39,40,42,43,
%T A095279 46,48,51,52,53,55,56,59,60,61,63,64,67,69,72,73,74,77,80,81,82,84,85,
%U A095279 88,90,93,94,95,97,98,101,103,106,107,108,111,114,115,116,118,119,122
%N A095279 Partials sums of A095276.
%K A095279 nonn
%O A095279 1,2
%A A095279 Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 01 2004