%I #4 Jun 12 2017 21:51:03
%S 2,3,5,6,9,10,12,13,16,18,19,20,22,23,26,27,29,30,33,35,36,37,40,41,
%T 43,44,46,47,50,51,53,54,57,59,60,61,63,64,67,68,70,71,74,76,77,78,81,
%U 82,84,85,87,88,91,93,94,95,97,98,101,102,104,105,108,109
%N Positions of 1 in A288478; complement of A288479.
%C Conjecture: a(n)/n - > 1 + sqrt(1/2), and -1 < 1 + sqrt(1/2) - a(n)/n) < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288480/b288480.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" -> "110"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[11]] - 48 (* A288478 *)
%t Flatten[Position[st, 0]] (* A288479 *)
%t Flatten[Position[st, 1]] (* A288480 *)
%Y Cf. A288478, A288479
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Jun 12 2017