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A286926 Positions of 0 in A286925; complement of A286927. 3
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, 30, 31, 32, 33, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 75, 76, 77, 78 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

EXAMPLE

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> 1, 1 -> {1, 1, 0}}] &, {1}, 11]; (* Sturmian word A080764 *)

w = StringJoin[Map[ToString, s]];

w1 = StringReplace[w, {"0" -> "01", "1" -> "00"}]

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

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

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

CROSSREFS

Cf. A080764, A286925, A286927.

Sequence in context: A175233 A121229 A286291 * A145198 A083210 A187392

Adjacent sequences:  A286923 A286924 A286925 * A286927 A286928 A286929

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 18 2017

STATUS

approved

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Last modified April 24 04:00 EDT 2019. Contains 322406 sequences. (Running on oeis4.)