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A286994 Positions of 0 in A286993; complement of A286995. 3
3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 18, 19, 21, 22, 23, 26, 27, 28, 31, 32, 33, 35, 36, 37, 40, 41, 42, 44, 45, 46, 49, 50, 51, 54, 55, 56, 58, 59, 60, 63, 64, 65, 67, 68, 69, 72, 73, 74, 76, 77, 78, 81, 82, 83, 86, 87, 88, 90, 91, 92, 95, 96, 97, 99, 100 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) - a(n-1) is in {1,2,3} for n >= 2, and a(n)/n -> (6 - 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 3,4,5,8,9,...

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", "111"->"1"}]

st = ToCharacterCode[w1] - 48 ; (* A286993 *)

Flatten[Position[st, 0]];  (* A286994 *)

Flatten[Position[st, 1]];  (* A286995 *)

CROSSREFS

Cf. A080764, A286993, A286995.

Sequence in context: A274231 A173999 A127427 * A047205 A283765 A120631

Adjacent sequences:  A286991 A286992 A286993 * A286995 A286996 A286997

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 19 2017

STATUS

approved

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Last modified March 29 15:16 EDT 2020. Contains 333107 sequences. (Running on oeis4.)