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%I #12 Jun 15 2017 00:04:42
%S 1,3,5,8,11,13,15,18,21,23,25,28,31,32,35,38,40,42,45,48,49,52,55,57,
%T 59,62,65,67,69,72,75,77,79,82,85,86,89,92,94,96,99,102,103,106,109,
%U 111,113,116,119,121,123,126,129,131,133,136,139,140,143,146,148
%N Positions of 0 in A288473; complement of A288475.
%C Conjecture: a(n)/n - >2.34..., and if m denotes this number, then -1 < m - a(n)/n < 2 for n >= 1.
%H Clark Kimberling, <a href="/A288474/b288474.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" -> "011"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[11]] - 48 (* A288473 *)
%t Flatten[Position[st, 0]] (* A288474 *)
%t Flatten[Position[st, 1]] (* A288475 *)
%t Table[StringLength[w[n]], {n, 1, 35}] (* A288476 conjectured *)
%Y Cf. A288473, A288475, A288476.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 11 2017