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%I #9 Oct 08 2017 12:42:05
%S 1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,
%T 30,31,32,34,35,36,37,38,40,41,42,43,44,46,47,48,49,50,51,52,54,55,56,
%U 57,58,60,61,62,63,64,65,66,68,69,70,71,72,74,75,76,77,78
%N Positions of 0 in A286688; complement of A286690.
%C a(n) - a(n-1) is in {1,2,3} for n >= 2, and a(n)/n -> 4 - sqrt(8).
%H Clark Kimberling, <a href="/A286689/b286689.txt">Table of n, a(n) for n = 1..10000</a>
%e As a word, A286688 = 00001000001000000010000010..., in which 0 is in positions 1,2,3,4,6,7,...
%t s = Nest[Flatten[# /. {0 -> {0, 0, 1}, 1 -> {0}}] &, {0}, 6] (* A171588 *)
%t w = StringJoin[Map[ToString, s]]
%t w1 = StringReplace[w, {"0" -> "00", "1"->"10"}]
%t st = ToCharacterCode[w1] - 48 ; (* A286688 *)
%t Flatten[Position[st, 0]]; (* A286689 *)
%t Flatten[Position[st, 1]]; (* A286690 *)
%Y Cf. A171588, A286688, A286690.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, May 13 2017
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