%I #21 Jun 25 2017 15:07:42
%S 1,2,3,6,7,8,9,10,11,12,15,16,17,19,20,21,24,25,26,27,28,29,32,33,34,
%T 35,36,37,40,41,42,43,44,45,48,49,50,52,53,54,57,58,59,61,62,63,64,66,
%U 67,68,71,72,73,74,75,76,79,80,81,83,84,85,88,89,90,91
%N Positions of 0 in A288710; complement of A288712.
%C Conjecture: a(n)/n -> 1.39..., and if m denotes this number, then -1 < m - a(n)/n < 1 for n >= 1.
%H Clark Kimberling, <a href="/A287103/b287103.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" -> "0001"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[54]] - 48 (* A288710 *)
%t Flatten[Position[st, 0]] (* A287103 *)
%t Flatten[Position[st, 1]] (* A288755 *)
%Y Cf. A288710, A288755.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 24 2017