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%I #9 Oct 08 2017 12:43:16
%S 3,4,5,8,9,10,12,13,14,17,18,19,21,22,23,26,27,28,31,32,33,35,36,37,
%T 40,41,42,44,45,46,49,50,51,54,55,56,58,59,60,63,64,65,67,68,69,72,73,
%U 74,76,77,78,81,82,83,86,87,88,90,91,92,95,96,97,99,100
%N Positions of 0 in A286993; complement of A286995.
%C a(n) - a(n-1) is in {1,2,3} for n >= 2, and a(n)/n -> (6 - sqrt(2))/3.
%H Clark Kimberling, <a href="/A286994/b286994.txt">Table of n, a(n) for n = 1..10000</a>
%e As a word, A286993 = 11000110001000110..., in which 0 is in positions 3,4,5,8,9,...
%t s = Nest[Flatten[# /. {0 -> 1, 1 -> {1, 1, 0}}] &, {1}, 11]; (* Sturmian word A080764 *)
%t w = StringJoin[Map[ToString, s]];
%t w1 = StringReplace[w, {"0" -> "000", "111"->"1"}]
%t st = ToCharacterCode[w1] - 48 ; (* A286993 *)
%t Flatten[Position[st, 0]]; (* A286994 *)
%t Flatten[Position[st, 1]]; (* A286995 *)
%Y Cf. A080764, A286993, A286995.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, May 19 2017
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