%I #4 Jun 09 2017 19:39:25
%S 3,5,6,9,10,12,13,17,19,20,22,23,26,27,29,30,34,37,38,41,42,44,45,48,
%T 49,51,52,56,58,59,61,62,65,66,68,69,73,76,77,81,83,84,86,87,91,93,94,
%U 96,97,100,101,103,104,108,110,111,113,114,117,118,120,121
%N Positions of 1 in A288306; complement of A288307.
%C Conjecture: -1 < 2 - a(n)/n < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288308/b288308.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, A288307.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jun 09 2017