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%I #6 Jun 18 2017 22:09:52
%S 1,2,4,5,7,9,10,11,13,14,15,16,18,19,21,23,24,25,26,27,29,31,32,33,34,
%T 36,37,38,40,41,43,45,46,47,49,50,51,52,54,55,56,58,59,61,63,64,65,66,
%U 68,70,71,72,73,74,76,77,79,81,82,83,84,85,87,89,90,91
%N Positions of 0 in A288216; complement of A288218.
%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="/A288217/b288217.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[21]] - 48 (* A288216 *)
%t Flatten[Position[st, 0]] (* A288217 *)
%t Flatten[Position[st, 1]] (* A288218 *)
%Y Cf. A288216, A288218.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 18 2017
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