%I #4 Jun 10 2017 22:30:02
%S 1,2,3,5,7,8,10,11,12,13,16,17,18,19,21,22,23,26,28,29,30,31,33,34,35,
%T 38,39,40,41,43,45,47,48,50,51,52,53,55,56,57,60,61,62,63,65,67,69,70,
%U 71,72,74,75,76,79,80,82,83,85,86,87,88,91,92,93,94,96
%N Positions of 0 in A288377; complement of A288379.
%C Conjecture: a(n)/n-> 1.46..., and if m denotes this number, then -1 < m - a(n)/n < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288378/b288378.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" -> "0001", "1" -> "10"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[11]] - 48 (* A288377 *)
%t Flatten[Position[st, 0]] (* A288378 *)
%t Flatten[Position[st, 1]] (* A288379 *)
%Y Cf. A288377, A288379.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 09 2017