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%I #10 Oct 08 2017 12:45:47
%S 1,5,7,8,10,11,15,19,21,22,24,25,27,28,30,31,35,39,41,42,44,45,49,53,
%T 55,56,58,59,61,62,64,65,67,68,70,71,75,79,81,82,84,85,89,93,95,96,98,
%U 99,101,102,104,105,109,113,115,116,118,119,123,127,129,130
%N Positions of 1 in A288733; complement of A288734.
%C Conjecture: a(n)/n -> 2, and 0 < 2 - a(n)/n < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288735/b288735.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" -> "01"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[21]] - 48 (* A288733 *)
%t Flatten[Position[st, 0]] (* A288734 *)
%t Flatten[Position[st, 1]] (* A288735 *)
%Y Cf. A288733, A288734.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 16 2017
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