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%I #6 Jun 23 2017 08:47:40
%S 2,4,10,12,17,21,24,26,32,35,37,41,46,48,53,57,60,62,67,69,75,79,82,
%T 84,88,93,96,98,104,106,111,115,118,120,126,129,131,135,140,143,145,
%U 151,153,158,162,165,167,171,176,180,183,185,190,192,198,200,205,209
%N Positions of 1 in A288223; complement of A288224.
%C Conjecture: a(n)/n -> 3.61..., and if m denotes this number, then -1 < m - a(n)/n < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288225/b288225.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" -> "1000", "10" -> "010"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[20]] - 48 (* A288223 *)
%t Flatten[Position[st, 0]] (* A288224 *)
%t Flatten[Position[st, 1]] (* A288225 *)
%Y Cf. A288223, A288224.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jun 22 2017
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