%I #7 Apr 02 2020 14:07:20
%S 1,2,4,5,6,7,8,9,11,12,13,15,16,17,19,20,21,22,23,24,26,27,28,29,30,
%T 31,32,34,35,36,37,38,39,40,42,43,44,46,47,48,50,51,52,53,54,55,57,58,
%U 59,61,62,63,65,66,67,68,69,70,71,73,74,75,77,78,79,81,82
%N Positions of 0 in A288167; complement of A288169.
%C Conjecture: -1 < 6/5 - a(n)/n < 1 for n >= 1.
%H Clark Kimberling, <a href="/A288168/b288168.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" -> "0010", "1" -> "000"}]
%t Table[w[n], {n, 0, 8}]
%t st = ToCharacterCode[w[11]] - 48 (* A288167 *)
%t Flatten[Position[st, 0]] (* A288168 *)
%t Flatten[Position[st, 1]] (* A288169 *)
%Y Cf. A288167, A288169.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 07 2017
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