%I #5 Jun 14 2017 18:18:12

%S 3,4,7,8,11,12,14,15,18,19,21,22,25,26,29,30,33,34,36,37,40,41,43,44,

%T 47,48,51,52,55,56,58,59,62,63,65,66,68,70,72,73,75,76,79,80,82,83,86,

%U 87,90,91,94,95,97,98,101,102,104,105,107,109,111,112,114

%N Positions of 1 in A288551; complement of A288552.

%C Conjecture: a(n)/n->1.74..., and if m denotes this number, then -2 < m - a(n)/n) < 1 for n >= 1.

%H Clark Kimberling, <a href="/A288553/b288553.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", "1" -> "011"}]

%t Table[w[n], {n, 0, 8}]

%t st = ToCharacterCode[w[10]] - 48 (* A288551 *)

%t Flatten[Position[st, 0]] (* A288552 *)

%t Flatten[Position[st, 1]] (* A288553 *)

%Y Cf. A288551, A288552, A288276.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Jun 14 2017