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%I #4 Jun 16 2017 22:33:58
%S 2,5,7,10,11,14,16,17,20,22,25,26,27,30,32,35,36,39,41,42,43,46,48,51,
%T 52,55,57,58,61,63,66,67,68,69,72,74,77,78,81,83,84,87,89,92,93,94,97,
%U 99,102,103,106,108,109,110,111,114,116,119,120,123,125,126
%N Positions of 1 in A288600; complement of A288601.
%C Conjecture: a(n)/n->2, and -1/2 < 2 - a(n)/n) < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288602/b288602.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" -> "1001"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[11]] - 48 (* A288600 *)
%t Flatten[Position[st, 0]] (* A288601 *)
%t Flatten[Position[st, 1]] (* A288602 *)
%Y Cf. A288600, A288601.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jun 14 2017