20 PRENUMBERED NEW SEQUENCES A122227-A122246.

%I A122227
%S A122227 1,3,7,8,17,18,21,22,20,45,46,49,50,48,58,59,63,64,62,54,55,57,61,129,
%T A122227 130,133,134,132,142,143,147,148,146,138,139,141,145,170,171,175,176,
%U A122227 174,189,190,195,196,194,184,185,188,193,157,158,161,162,160,169,173
%N A122227 a(n) = A057548(A057117(n))
%Y A122227 Iterates: A122228, A122231, A122234, A122238. Cf. A080067, A122237.
%K A122227 nonn
%O A122227 0,2
%A A122227 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122228
%S A122228 0,1,3,8,20,55,160,493,1579,5212,17595,60462,210749,743284,2647461,
%T A122228 9509504
%N A122228 Iterates of A122227, starting from 0.
%Y A122228 Cf. A122229, A122230, A106191.
%K A122228 nonn
%O A122228 0,3
%A A122228 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006
%o A122228 (Scheme:) (define (A122228 n) (if (zero? n) 0 (A122227 (A122228 (- n 1)))))

%I A122229
%S A122229 0,2,12,56,228,920,3684,14744,58980,235928,943716,3774872,15099492,
%T A122229 60397976,241591908,966367640,3865470564,15461882264,61847529060,
%U A122229 247390116248,989560464996,3958241859992,15832967439972
%N A122229 a(n) = A014486(A122228(n)).
%C A122229 A simple formula exists, cf. A080675.
%H A122229 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a080069.py.txt">Python program for computing this sequence and the associated image.</a>
%H A122229 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a122229_128.png">Terms a(1)-a(128) drawn as binary strings, in Wolframesque fashion.</a>
%Y A122229 A122230 shows the same sequence in binary. Compare to similar Wolframesque plots given in A080070, A122232, A122235, A122239, A122242, A122245.
%K A122229 nonn,base
%O A122229 0,2
%A A122229 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122230
%S A122230 0,10,1100,111000,11100100,1110011000,111001100100,11100110011000,
%T A122230 1110011001100100,111001100110011000,11100110011001100100,
%U A122230 1110011001100110011000,111001100110011001100100
%N A122230 a(n) = A007088(A122229(n)).
%Y A122230 Cf. A080070, A122233, A122236, A122240, A122243, A122246.
%K A122230 nonn,base
%O A122230 0,2
%A A122230 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122231
%S A122231 4,17,64,183,560,2036,6397,20414,79204,262714,870210,3640880
%N A122231 Iterates of A122227, starting from A122227(4)=17.
%Y A122231 Cf. A122232, A122233.
%K A122231 nonn
%O A122231 1,1
%A A122231 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006
%o A122231 (Scheme:) (define (A122231 n) (if (= 1 n) 4 (A122227 (A122231 (- n 1)))))

%I A122232
%S A122232 42,212,992,3876,15448,64644,252056,989988,4108676,16147220,63393540,
%T A122232 266083460,1047285272,4245874244,16903342544,67034166420,274274527940,
%U A122232 1068738181764,4246566244100,17369295361736,67322784388376,269731897678032
%N A122232 a(n) = A014486(A122231(n)).
%H A122232 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a080069.py.txt">Python program for computing this sequence and the associated image.</a>
%H A122232 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a122232_512.png">Terms a(1)-a(512) drawn as binary strings, in Wolframesque fashion.</a>
%Y A122232 A122233 shows the same sequence in binary. Compare to similar Wolframesque plots given in A080070, A122229, A122235, A122239, A122242, A122245.
%K A122232 nonn,base
%O A122232 1,1
%A A122232 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122233
%S A122233 101010,11010100,1111100000,111100100100,11110001011000,
%T A122233 1111110010000100,111101100010011000,11110001101100100100,
%U A122233 1111101011000110000100,111101100110001100010100
%N A122233 a(n) = A007088(A122232(n)).
%Y A122233 Cf. A080070, A122230, A122236, A122240, A122243, A122246.
%K A122233 nonn,base
%O A122233 1,1
%A A122233 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122234
%S A122234 5,18,62,180,620,1836,5997,23675,76849,263613,923897,3090855
%N A122234 Iterates of A122227, starting from A122227(5)=18.
%Y A122234 A122235.
%K A122234 nonn
%O A122234 1,1
%A A122234 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122235
%S A122235 44,216,968,3860,16132,62064,247236,1044612,4073156,16161828,64513624,
%T A122235 253336008,1046901060,4267950372,16347521428,68075401492,268150646664,
%U A122235 1086041921700,4254535157576,17346201751972,66879000490408,276319489325472
%N A122235 a(n) = A014486(A122234(n)).
%H A122235 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a080069.py.txt">Python program for computing this sequence and the associated image.</a>
%H A122235 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a122235_512.png">Terms a(1)-a(512) drawn as binary strings, in Wolframesque fashion.</a>
%Y A122235 A122236 shows the same sequence in binary. Compare to similar Wolframesque plots given in A080070, A122229, A122232, A122239, A122242, A122245.
%K A122235 nonn,base
%O A122235 1,1
%A A122235 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122236
%S A122236 101100,11011000,1111001000,111100010100,11111100000100,
%T A122236 1111001001110000,111100010111000100,11111111000010000100,
%U A122236 1111100010011011000100,111101101001110000100100
%N A122236 a(n) = A007088(A122235(n)).
%Y A122236 Cf. A080070, A122230, A122233, A122240, A122243, A122246.
%K A122236 nonn,base
%O A122236 1,1
%A A122236 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006


%I A122237
%S A122237 1,3,8,7,22,21,18,17,20,64,63,59,58,62,50,49,46,45,48,61,57,55,54,196,
%T A122237 195,190,189,194,176,175,171,170,174,193,188,185,184,148,147,143,142,
%U A122237 146,134,133,130,129,132,145,141,139,138,192,187,173,169,183,181,167
%N A122237 a(n) = A057548(A082358(n))
%Y A122237 Iterates: A106191, A122241, A122244. Cf. also A122227, A080067.
%K A122237 nonn
%O A122237 0,2
%A A122237 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006


%I A122238
%S A122238 7,22,61,192,575,2024,6090,20324,81824,248673,935492,3249468
%N A122238 Iterates of A122227, starting from A122227(7)=22.
%Y A122238 A122239.
%K A122238 nonn
%O A122238 1,1
%A A122238 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122239
%S A122239 52,240,964,3972,15556,64532,248288,988964,4164356,15899248,64719124,
%T A122239 257019652,1070118936,4197239188,16299415152,65592597568,259741591312,
%U A122239 1093901323332,4233842104068,16616683414632,70137217092164
%N A122239 a(n) = A014486(A122238(n)).
%C A122239 A122240 shows the same sequence in binary.
%H A122239 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a080069.py.txt">Python program for computing this sequence and the associated image.</a>
%H A122239 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a122239_512.png">Terms a(1)-a(512) drawn as binary strings, in Wolframesque fashion.</a>
%Y A122239 Compare to similar Wolframesque plots given in A080070, A122229, A122232, A122235, A122242, A122245.
%K A122239 nonn,base
%O A122239 1,1
%A A122239 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122240
%S A122240 110100,11110000,1111000100,111110000100,11110011000100,
%T A122240 1111110000010100,111100100111100000,11110001011100100100,
%U A122240 1111111000101100000100,111100101001101001110000
%N A122240 a(n) = A007088(A122239(n)).
%Y A122240 Cf. A080070, A122230, A122233, A122236, A122243, A122246.
%K A122240 nonn,base
%O A122240 1,1
%A A122240 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122241
%S A122241 4,22,54,169,516,1841,6076,19256,66140,252691,888179,2900616
%N A122241 Iterates of A122237, starting from 4.
%Y A122241 A122242.
%K A122241 nonn
%O A122241 1,1
%A A122241 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006
%o A122241 (Scheme:) (define (A122241 n) (if (= 1 n) 4 (A122237 (A122241 (- n 1)))))

%I A122242
%S A122242 42,240,916,3748,14960,62104,248176,969304,3876576,15962544,63772488,
%T A122242 248169896,993554240,4086635408,16350541128,63529835824,254129143040,
%U A122242 1046249323840,4184725760584,16276030608712,65054467548432,267635134298624
%N A122242 a(n) = A014486(A122241(n)).
%C A122242 Open project: to which Wolfram's class this simple program belongs to, class 3 or class 4?
%H A122242 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a080069.py.txt">Python program for computing this sequence and the associated image.</a>
%H A122242 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a122242_768.png">Terms a(1)-a(768) drawn as binary strings, in Wolframesque fashion.</a>
%H A122242 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a122242_256.png">Terms a(1)-a(256) drawn as binary strings, showing details better.</a>
%Y A122242 A122243 shows the same sequence in binary. Compare to similar Wolframesque plots given in A080070, A122229, A122232, A122235, A122239, A122245.
%K A122242 nonn,base
%O A122242 1,1
%A A122242 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122243
%S A122243 101010,11110000,1110010100,111010100100,11101001110000,
%T A122243 1111001010011000,111100100101110000,11101100101001011000,
%U A122243 1110110010011011100000,111100111001000110110000
%N A122243 a(n) = A007088(A122242(n)).
%Y A122243 A080070, A122230, A122233, A122236, A122240, A122246.
%K A122243 nonn,base
%O A122243 1,1
%A A122243 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122244
%S A122244 5,21,55,183,512,1724,6085,20899,66106,231841,888275,3188220
%N A122244 Iterates of A122237, starting from 5.
%Y A122244 A122245.
%K A122244 nonn
%O A122244 1,1
%A A122244 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006
%o A122244 (Scheme:) (define (A122244 n) (if (= 1 n) 5 (A122237 (A122244 (- n 1)))))

%I A122245
%S A122245 44,232,920,3876,14936,60568,248240,996440,3876264,15524272,63773584,
%T A122245 255477160,993549616,3970767760,16350559552,65386339632,254129067336,
%U A122245 1016476056896,4184726043136,16740063237448,65054466609736,260416091191808
%N A122245 a(n) = A014486(A122244(n)).
%H A122245 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a080069.py.txt">Python program for computing this sequence and the associated image.</a>
%H A122245 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a122245_768.png">Terms a(1)-a(768) drawn as binary strings, in Wolframesque fashion.</a>
%H A122245 A. Karttunen, <a href="http://www.research.att.com/~njas/sequences/a122245_256.png">Terms a(1)-a(256) drawn as binary strings, showing details better.</a>
%C A122245 Open project: to which Wolfram's class this simple program belongs to, class 3 or class 4?
%Y A122245 A122246 shows the same sequence in binary. Compare to similar Wolframesque plots given in A080070, A122229, A122232, A122235, A122239, A122242.
%K A122245 nonn,base
%O A122245 1,1
%A A122245 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006

%I A122246
%S A122246 101100,11101000,1110011000,111100100100,11101001011000,
%T A122246 1110110010011000,111100100110110000,11110011010001011000,
%U A122246 1110110010010110101000,111011001110000110110000
%N A122246 a(n) = A007088(A122245(n)).
%Y A122246 A080070, A122230, A122233, A122236, A122240, A122243.
%K A122246 nonn,base
%O A122246 1,1
%A A122246 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 14 2006