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%I #4 Jun 02 2017 15:02:30
%S 1,3,5,6,8,10,12,14,15,17,19,20,22,24,26,28,29,31,33,35,37,38,40,42,
%T 43,45,47,49,51,52,54,56,57,59,61,63,65,66,68,70,72,74,75,77,79,80,82,
%U 84,86,88,89,91,93,95,97,98,100,102,103,105,107,109,111,112
%N Positions of 1 in A287722; complement of A287723.
%C Conjecture: 0 < n*r - a(n) < 3 for n >= 1, where r = 4 - sqrt(5).
%H Clark Kimberling, <a href="/A287724/b287724.txt">Table of n, a(n) for n = 1..10000</a>
%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0}}] &, {0}, 10] (* A003849 *)
%t w = StringJoin[Map[ToString, s]]
%t w1 = StringReplace[w, {"0" -> "1", "1" -> "011"}]
%t st = ToCharacterCode[w1] - 48 (* A287722 *)
%t Flatten[Position[st, 0]] (* A287723 *)
%t Flatten[Position[st, 1]] (* A287724 *)
%Y Cf. A287722, A287723.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 02 2017
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