%I #4 Jun 09 2017 19:39:18
%S 1,2,4,7,8,11,14,15,16,18,21,24,25,28,31,32,33,35,36,39,40,43,46,47,
%T 50,53,54,55,57,60,63,64,67,70,71,72,74,75,78,79,80,82,85,88,89,90,92,
%U 95,98,99,102,105,106,107,109,112,115,116,119,122,123,124,126
%N Positions of 0 in A288306; complement of A288308.
%C Conjecture: -1 < 2 - a(n)/n < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288307/b288307.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" -> "0010", "1" -> "110"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[11]] - 48 (* A288306 *)
%t Flatten[Position[st, 0]] (* A288307 *)
%t Flatten[Position[st, 1]] (* A288308 *)
%Y Cf. A288306, A288308.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 09 2017