A036378 matched A095005+A095006 in 26 positions.
A036378 matched A095007+A095008 in 26 positions.
A036378 matched A095013+A095014 in 26 positions.
A036378[1] != (A095015[1]+A095016[1]), i.e. 1 != (0+0)
A036378 matched A095015+A095016 in 25 positions.
A036378 matched A095019+A095054 in 26 positions.
A095013 matched A095009+A095012 in 26 positions.
A095014 matched A095010+A095011 in 26 positions.
A095054 matched A095018+A095020 in 26 positions.
A095055 matched A095018+A095019 in 26 positions.
A036378 matched A095063+A095064 in 26 positions.
A036378 matched A095060+A095061 in 26 positions.
A095060 matched A095062+A095067 in 26 positions.
A095061 matched A095066+A095069 in 26 positions.
A095062 matched A095065+A095068 in 26 positions.
A095008[19] != (A095092[19]+A095093[19]), i.e. 19341 != (0+0)
A095008[20] != (A095092[20]+A095093[20]), i.e. 36759 != (0+0)
A095008[21] != (A095092[21]+A095093[21]), i.e. 70179 != (0+0)
A095008[22] != (A095092[22]+A095093[22]), i.e. 134241 != (0+0)
A095008[23] != (A095092[23]+A095093[23]), i.e. 256856 != (0+0)
A095008[24] != (A095092[24]+A095093[24]), i.e. 492936 != (0+0)
A095008[25] != (A095092[25]+A095093[25]), i.e. 947272 != (0+0)
A095008[26] != (A095092[26]+A095093[26]), i.e. 1822615 != (0+0)
A095008 matched A095092+A095093 in 18 positions.
A036378[19] != (A095094[19]+A095095[19]), i.e. 38635 != (0+0)
A036378[20] != (A095094[20]+A095095[20]), i.e. 73586 != (0+0)
A036378[21] != (A095094[21]+A095095[21]), i.e. 140336 != (0+0)
A036378[22] != (A095094[22]+A095095[22]), i.e. 268216 != (0+0)
A036378[23] != (A095094[23]+A095095[23]), i.e. 513708 != (0+0)
A036378[24] != (A095094[24]+A095095[24]), i.e. 985818 != (0+0)
A036378[25] != (A095094[25]+A095095[25]), i.e. 1894120 != (0+0)
A036378[26] != (A095094[26]+A095095[26]), i.e. 3645744 != (0+0)
A036378 matched A095094+A095095 in 18 positions.
%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!
%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!
%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
%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).
%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
%N A095005 Number of odious primes (A027697) in range ]2^n,2^(n+1)].
%Y A095005 a(n) = A036378(n)-A095006(n).
%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), May 28 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
%N A095006 Number of evil primes (A027699) in range ]2^n,2^(n+1)].
%Y A095006 a(n) = A036378(n)-A095005(n).
%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), May 28 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.
%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.
%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
%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).
%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), May 28 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
%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).
%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), May 28 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
%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.
%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), May 28 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
%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.
%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), May 28 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
%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.
%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), May 28 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
%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.
%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), May 28 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
%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).
%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), May 28 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
%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).
%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), May 28 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
%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).
%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), May 28 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
%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).
%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), May 28 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
%N A095017 Number of lesser twin primes (A001359) in range ]2^n,2^(n+1)].
%Y A095017 Cf. A095016, A036378.
%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), May 28 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
%N A095021 Number of 5k+1 primes (A030430) in range ]2^n,2^(n+1)].
%Y A095021 Cf. A036378.
%K A095021 nonn
%O A095021 1,5
%A A095021 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095022 Number of 5k+2 primes (A030432) in range ]2^n,2^(n+1)].
%Y A095022 Cf. A036378.
%K A095022 nonn
%O A095022 1,5
%A A095022 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095023 Number of 5k+3 primes (A030431) in range ]2^n,2^(n+1)].
%Y A095023 Cf. A036378.
%K A095023 nonn
%O A095023 1,5
%A A095023 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095024 Number of 5k+4 primes (A030433) in range ]2^n,2^(n+1)].
%Y A095024 Cf. A036378.
%K A095024 nonn
%O A095024 1,4
%A A095024 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 2004

%I A095018
%S A095018 0,0,0,0,2,0,4,0,17,0,28,0,189,0,531,0,1990,0,5747,0,23902,0,76658,
%T A095018 0,291478,0
%N A095018 Number of binarily balanced primes (A066196) in range ]2^n,2^(n+1)].
%Y A095018 Cf. A095005-A095006.
%K A095018 nonn
%O A095018 1,5
%A A095018 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095019 Number of zero-bit dominant primes (A095071) in range ]2^n,2^(n+1)].
%Y A095019 Cf. A095018.
%K A095019 nonn
%O A095019 1,6
%A A095019 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095020 Number of one-bit dominant primes (A095070) in range ]2^n,2^(n+1)].
%Y A095020 Cf. A095018.
%K A095020 nonn
%O A095020 1,2
%A A095020 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 2004

%I A095052
%S A095052 0,0,0,1,0,3,0,10,0,25,0,78,0,283,0,906,0,3044,0,10920,0,37920,0,
%T A095052 135182,0,487555
%N A095052 Number of primes with #0-bits = 1+#1-bits (A095072) in range ]2^n,2^(n+1)].
%Y A095052 Cf. A095018.
%K A095052 nonn
%O A095052 1,6
%A A095052 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 2004

%I A095053
%S A095053 0,1,0,1,0,5,0,11,0,28,0,105,0,362,0,1093,0,3659,0,13001,0,45171,
%T A095053 0,159510,0,563833
%N A095053 Number of primes with #1-bits = 1+#0-bits (A095073) in range ]2^n,2^(n+1)].
%Y A095053 Cf. A095018.
%K A095053 nonn
%O A095053 1,6
%A A095053 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095054 Number of primes with #0-bits <= #1-bits (A095074) in range ]2^n,2^(n+1)].
%Y A095054 a(n) = A095018(n)+A095020(n).
%K A095054 nonn
%O A095054 1,2
%A A095054 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095055 Number of primes with #1-bits <= #0-bits (A095075) in range ]2^n,2^(n+1)].
%Y A095055 a(n) = A095018(n)+A095019(n).
%K A095055 nonn
%O A095055 1,5
%A A095055 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095056 Number of primes with three 1-bits (A081091) in range ]2^n,2^(n+1)].
%Y A095056 Cf. A095018.
%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), May 28 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
%N A095057 Number of primes with four 1-bits (A095077) in range ]2^n,2^(n+1)].
%Y A095057 Cf. A095018.
%K A095057 nonn
%O A095057 1,4
%A A095057 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095058 Number of primes with a single 0-bit (A095078) in range ]2^n,2^(n+1)].
%Y A095058 Cf. A095018.
%K A095058 nonn
%O A095058 1,3
%A A095058 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095059 Number of primes with two 0-bits (A095079) in range ]2^n,2^(n+1)].
%Y A095059 Cf. A095018.
%K A095059 nonn
%O A095059 1,5
%A A095059 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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. Cf. A095020.
%K A095070 nonn
%O A095070 1,1
%A A095070 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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. Subsets: A095072, ... Cf. A095019.
%K A095071 nonn
%O A095071 1,1
%A A095071 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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. Complement of A0950xx in A000040.Cf. A095052.
%K A095072 nonn
%O A095072 1,1
%A A095072 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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.
%K A095073 nonn
%O A095073 1,1
%A A095073 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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.
%K A095074 nonn
%O A095074 1,1
%A A095074 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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.
%K A095075 nonn
%O A095075 1,1
%A A095075 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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.
%K A095077 nonn
%O A095077 1,1
%A A095077 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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.
%K A095078 nonn
%O A095078 1,1
%A A095078 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 Intersect of A000040 & A0xxxxx. Cf. A095059.
%K A095079 nonn
%O A095079 1,1
%A A095079 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%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).
%K A095060 nonn
%O A095060 1,2
%A A095060 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Zeckendorf-expansion A014417(p) ends with zero.
%Y A095080 Intersect of A000040 & A022342. Union of A095082 & A095087. Cf. A095060, A095081.
%K A095080 nonn
%O A095080 1,1
%A A095080 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%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).
%K A095061 nonn
%O A095061 1,4
%A A095061 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Zeckendorf-expansion A014417(p) ends with one.
%Y A095081 Intersect of A000040 & A003622. Union of A095086 & A095089. Cf. A095061, A095080.
%K A095081 nonn
%O A095081 1,1
%A A095081 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%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).
%K A095062 nonn
%O A095062 1,3
%A A095062 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Zeckendorf-expansion A014417(p) ends with two zeros.
%Y A095082 Cf. A095062.  Union of A095085 & A095088.
%K A095082 nonn
%O A095082 1,1
%A A095082 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%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.
%K A095065 nonn
%O A095065 1,6
%A A095065 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Zeckendorf-expansion A014417(p) ends with three zeros.
%Y A095085 Cf. A095065.
%K A095085 nonn
%O A095085 1,1
%A A095085 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%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.
%K A095066 nonn
%O A095066 1,5
%A A095066 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Zeckendorf-expansion A014417(p) ends with two zeros and final 1.
%Y A095086 Cf. A095066.
%K A095086 nonn
%O A095086 1,1
%A A095086 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095067 Number of fib010 primes (A095087) in range ]2^n,2^(n+1)].
%Y A095067 a(n) = A095060(n)-A095062(n).
%K A095067 nonn
%O A095067 1,4
%A A095067 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Zeckendorf-expansion A014417(p) ends with zero, one and zero.
%Y A095087 Cf. A095067.
%K A095087 nonn
%O A095087 1,1
%A A095087 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095068 Number of fib100 primes (A095088) in range ]2^n,2^(n+1)].
%Y A095068 a(n) = A095062(n)-A095065(n).
%K A095068 nonn
%O A095068 1,6
%A A095068 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Zeckendorf-expansion A014417(p) ends with one and two final zeros.
%Y A095088 Cf. A095068.
%K A095088 nonn
%O A095088 1,1
%A A095088 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095069 Number of fib101 primes (A095089) in range ]2^n,2^(n+1)].
%Y A095069 a(n) = A095061(n)-A095066(n).
%K A095069 nonn
%O A095069 1,6
%A A095069 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Zeckendorf-expansion A014417(p) ends as one, zero, one.
%Y A095089 Cf. A095069.
%K A095089 nonn
%O A095089 1,1
%A A095089 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095063 Number of fibodious primes (A095083) in range ]2^n,2^(n+1)].
%Y A095063 a(n) = A036378(n)-A095064(n).
%K A095063 nonn
%O A095063 1,4
%A A095063 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Zeckendorf-expansion A014417(p) contains an odd number of 1-fibits.
%Y A095083 Intersect of A000040 & A0xxxxx..Cf. A095084, A095063.
%K A095083 nonn
%O A095083 1,1
%A A095083 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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
%N A095064 Number of fibevil primes (A095084) in range ]2^n,2^(n+1)].
%Y A095064 a(n) = A036378(n)-A095063(n).
%K A095064 nonn
%O A095064 1,4
%A A095064 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Zeckendorf-expansion A014417(p) contains an even number of 1-fibits.
%Y A095084 Intersect of A000040 & A0xxxxx..Cf. A095083, A095064.
%K A095084 nonn
%O A095084 1,1
%A A095084 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 2004

%I A095092
%S A095092 1,1,1,2,2,4,7,10,16,30,51,88,153,277,509,905,1660,3079,0,0,0,0,0,
%T A095092 0,0,0
%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).
%K A095092 nonn
%O A095092 1,4
%A A095092 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 4k+3 primes whose Legendre-vector is a valid Dyck-path.
%Y A095102 Intersect of A000040 & A095100. Subset of A080114 (see comments there). Complement of A095103 in A002145. Cf. A095092.
%K A095102 nonn
%O A095102 1,1
%A A095102 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 2004

%I A095093
%S A095093 0,0,0,1,1,3,6,12,21,41,77,143,287,530,1010,1967,3711,7125,0,0,0,
%T A095093 0,0,0,0,0
%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).
%K A095093 nonn
%O A095093 1,6
%A A095093 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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. Cf. A095093.
%K A095103 nonn
%O A095103 1,1
%A A095103 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 2004

%I A095094
%S A095094 1,2,2,2,3,4,7,10,16,30,51,88,153,277,509,905,1660,3079,0,0,0,0,0,
%T A095094 0,0,0
%N A095094 Number of primes whose Legendre-vector is a Dyck-path (A080114) in range ]2^n,2^(n+1)].
%Y A095094 a(n) = A036378(n)-A095095(n).
%K A095094 nonn
%O A095094 1,2
%A A095094 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 Primes whose Legendre-vector is a valid Dyck-path.
%Y A080114 Intersect of A000040 & A0xxxxx. Subset: A095102. Complement of A080115 in A000040. Cf. A095094.
%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 0,0,0,3,4,9,16,33,59,107,204,376,719,1335,2521,4804,9089,17311,0,
%T A095095 0,0,0,0,0,0,0
%N A095095 Number of primes whose Legendre-vector is not Dyck-path (A080115) in range ]2^n,2^(n+1)].
%Y A095095 a(n) = A036378(n)-A095094(n).
%K A095095 nonn
%O A095095 1,4
%A A095095 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), May 28 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 whose Legendre-vector is not a valid Dyck-path.
%Y A080115 Intersect of A000040 & A0xxxxx. Complement of A080114 in A000040. Cf. A095095.
%K A080115 nonn
%O A080115 1,1
%A A080115 Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Feb 11 2003