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A286926 Positions of 0 in A286925; complement of A286927. 3

%I

%S 1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,18,19,21,22,23,24,25,27,28,29,

%T 30,31,32,33,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,55,56,

%U 57,58,59,61,62,63,64,65,66,67,69,70,71,72,73,75,76,77,78

%N Positions of 0 in A286925; complement of A286927.

%C a(n) - a(n-1) is in {1,2} for n>=2, and a(n)/n -> 4 - sqrt(8).

%H Clark Kimberling, <a href="/A286926/b286926.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A286925 = 00000100000100000001..., in which 0 is in positions 1,2,3,4,5,7,....

%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" -> "01", "1" -> "00"}]

%t st = ToCharacterCode[w1] - 48 ; (* A286925 *)

%t Flatten[Position[st, 0]]; (* A286926 *)

%t Flatten[Position[st, 1]]; (* A286927 *)

%Y Cf. A080764, A286925, A286927.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, May 18 2017

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Last modified May 22 18:53 EDT 2019. Contains 323481 sequences. (Running on oeis4.)