|
%I #10 Jun 13 2017 10:08:42
%S 4,7,9,11,14,16,18,21,25,29,31,33,36,40,44,46,48,51,54,57,61,64,67,71,
%T 75,79,81,83,86,89,92,96,99,102,106,110,114,116,118,121,123,125,128,
%U 130,132,135,138,141,145,147,149,152,154,156,159,162,165,169,172
%N Positions of 1 in A288508; complement of A288509.
%C Conjecture: a(n)/n -> 2.91..., and if m denotes this number, then -1 < m - a(n)/n) < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288510/b288510.txt">Table of n, a(n) for n = 1..10000</a>
%t s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
%t w[n_] := StringReplace[w[n - 1], {"00" -> "0101", "10" -> "001"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[18]] - 48 (* A288508 *)
%t Flatten[Position[st, 0]] (* A288509 *)
%t Flatten[Position[st, 1]] (* A288510 *)
%Y Cf. A288508, A288510.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jun 12 2017
|
