%I #6 Jun 26 2017 22:16:49
%S 3,10,14,17,21,24,28,35,41,45,48,52,56,60,67,71,78,84,88,91,95,98,102,
%T 105,109,113,117,124,131,135,138,142,146,149,153,156,160,167,173,177,
%U 180,184,191,198,205,212,216,219,223,227,231,238,244,248,251,255
%N Positions of 1 in A289016; complement of A289017.
%C Conjecture: a(n)/n -> 4.55..., and if m denotes this numbrer, then -1 < m - a(n)/n < -3 + m for n >= 1.
%t z = 11; (* number of iterates *)
%t s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];
%t w[n_] := StringReplace[w[n - 1], {"00" -> "0010", "01" -> "010", "10" -> "000"}]
%t TableForm[Table[w[n], {n, 0, 10}]]
%t st = ToCharacterCode[w[z]] - 48 (* A289016 *)
%t Flatten[Position[st, 0]] (* A289017 *)
%t Flatten[Position[st, 1]] (* A289018 *)
%Y Cf. A289016, A289017.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jun 26 2017