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%I #4 May 10 2017 21:33:19
%S 2,3,5,8,9,11,12,14,16,17,20,21,23,26,27,29,30,33,34,36,38,39,41,44,
%T 45,47,48,50,52,53,56,57,59,61,62,64,67,68,70,71,74,75,77,80,81,83,84,
%U 86,88,89,92,93,95,98,99,101,102,105,106,108,110,111,113,116
%N Positions of 1 in A286484; complement of A286485.
%C a(n) - a(n-1) is in {1,2,3} for n>=2. Conjecture: a(n)/n -> 9/5.
%H Clark Kimberling, <a href="/A286486/b286486.txt">Table of n, a(n) for n = 1..10000</a>
%e As a word, A286484 = 01101001101101011001..., in which 1 is in positions 2,3,5,8,9,11,...
%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 9] (* A010060 *)
%t w = StringJoin[Map[ToString, s]]
%t w1 = StringReplace[w, {"0010" -> "0"}]
%t st = ToCharacterCode[w1] - 48 (* A286484 *)
%t Flatten[Position[st, 0]] (* A286485 *)
%t Flatten[Position[st, 1]] (* A286486 *)
%Y Cf. A010060, A286484, A286485.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, May 10 2017
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