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%I #7 Jun 22 2017 14:17:47
%S 2,3,4,5,7,8,9,11,12,14,16,17,18,19,21,23,24,25,26,27,29,30,31,33,34,
%T 36,38,39,40,42,43,44,45,47,48,50,52,53,54,55,56,58,60,61,62,63,65,66,
%U 67,69,70,72,74,75,76,77,79,81,82,83,84,85,87,89,90,91
%N Positions of 0 in A288220; complement of A288222.
%C Conjecture: a(n)/n -> 1.38..., and if m denotes this number, then -1 < m - a(n)/n) < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288221/b288221.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[22]] - 48 (* A288220 *)
%t Flatten[Position[st, 0]] (* A288221 *)
%t Flatten[Position[st, 1]] (* A288222 *)
%Y Cf. A288220, A288222.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jun 19 2017