%I #4 Jun 15 2017 17:55:43
%S 2,5,6,8,10,13,16,19,20,22,25,26,28,31,32,34,36,39,42,43,45,47,50,53,
%T 54,56,58,61,64,67,68,70,73,74,76,78,81,84,87,88,90,93,94,96,98,101,
%U 104,107,108,110,113,114,116,119,120,122,124,127,130,131,133
%N Positions of 1 in A288633; complement of A288634.
%C Conjecture: a(n)/n->2.19..., and if m denotes this number, then -1 < m - a(n)/n) < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288635/b288635.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" -> "0110", "1" -> "10"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[10]] - 48 (* A288633 *)
%t Flatten[Position[st, 0]] (* A288634 *)
%t Flatten[Position[st, 1]] (* A288635 *)
%Y Cf. A288633, A288634.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jun 15 2017