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%I #4 Jun 16 2017 09:58:22
%S 1,4,5,8,9,11,12,13,14,17,18,21,22,24,25,26,27,29,30,31,32,34,35,36,
%T 37,38,39,40,41,44,45,48,49,52,53,55,56,57,58,61,62,65,66,68,69,70,71,
%U 73,74,75,76,78,79,80,81,82,83,84,85,88,89,91,92,93,94,96
%N Positions of 0 in A288670; complement of A288672.
%C Conjecture: a(n)/n->1.41..., and if m denotes this number, then -1 < m - a(n)/n) < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288671/b288671.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" -> "0110", "10" -> "000"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[13]] - 48 (* A288670 *)
%t Flatten[Position[st, 0]] (* A288671 *)
%t Flatten[Position[st, 1]] (* A288672 *)
%Y Cf. A288670, A288672.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 15 2017
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