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Positions of 1 in A288633; complement of A288634.
3

%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