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%I #7 Jun 13 2017 22:59:44
%S 1,3,5,6,7,9,10,11,13,14,16,17,19,20,21,23,24,26,27,29,30,31,33,35,37,
%T 38,40,42,44,45,47,48,50,51,53,54,55,57,59,61,62,64,66,68,69,71,72,74,
%U 75,77,78,79,81,82,83,85,86,87,89,91,93,94,96,97,98,100
%N Positions of 0 in A288512; complement of A288514.
%C Conjecture: a(n)/n -> 1.52..., and if m denotes this number, then -1 < m - a(n)/n < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288513/b288513.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", "10" -> "001"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[19]] - 48 (* A288512 *)
%t Flatten[Position[st, 0]] (* A288513 *)
%t Flatten[Position[st, 1]] (* A288514 *)
%Y Cf. A288512, A288514.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 13 2017