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A286997 Positions of 0 in A286996; complement of A188383. 2
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76 (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 -> (2 + sqrt(2))/3.

LINKS

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

EXAMPLE

As a word, A286993 = 11000110001000110..., in which 0 is in positions 1,2,3,4,5,6,8,....

MATHEMATICA

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

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

w1 = StringReplace[w, {"0" -> "000", "11"->""}]

st = ToCharacterCode[w1] - 48 ; (* A286996 *)

Flatten[Position[st, 0]];  (* A286997 *)

Flatten[Position[st, 1]];  (* A188383 *)

CROSSREFS

Cf. A080764, A286996, A188383.

Sequence in context: A000378 A022551 A172251 * A187396 A020659 A047304

Adjacent sequences:  A286994 A286995 A286996 * A286998 A286999 A287000

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 20 2017

STATUS

approved

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Last modified June 19 23:01 EDT 2019. Contains 324222 sequences. (Running on oeis4.)