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%I #6 Jun 14 2017 18:18:27
%S 1,3,4,5,6,8,10,12,13,14,16,17,18,20,21,22,23,25,28,29,30,31,33,36,37,
%T 38,39,41,43,45,46,47,50,51,52,53,55,57,59,60,61,64,65,66,67,69,71,73,
%U 74,75,77,78,79,81,82,83,84,86,90,91,92,93,95,97,99,100
%N Positions of 0 in A288596; complement of A288598.
%C Conjecture: a(n)/n->1.54..., and if m denotes this number, then -1 < m - a(n)/n) < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288597/b288597.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" -> "1000"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[11]] - 48 (* A288596 *)
%t Flatten[Position[st, 0]] (* A288597 *)
%t Flatten[Position[st, 1]] (* A288598 *)
%Y Cf. A288596, A288598.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 14 2017
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