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A286988 Positions of 0 in A286987; complement of A286989. 3
3, 6, 8, 11, 13, 16, 19, 21, 24, 26, 29, 32, 34, 37, 39, 42, 44, 47, 50, 52, 55, 57, 60, 63, 65, 68, 70, 73, 75, 78, 81, 83, 86, 88, 91, 94, 96, 99, 101, 104, 107, 109, 112, 114, 117, 119, 122, 125, 127, 130, 132, 135, 138, 140, 143, 145, 148, 150, 153, 156 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) - a(n-1) is in {2,3} 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, A286987 = 1101101011010110110101..., in which 0 is in positions 3,6,8,11,....

MATHEMATICA

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

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

w1 = StringReplace[w, {"111" -> "1"}]

st = ToCharacterCode[w1] - 48 ; (* A286987 *)

Flatten[Position[st, 0]];  (* A286988 *)

Flatten[Position[st, 1]];  (* A286989 *)

CROSSREFS

Cf. A080764, A286987, A286989.

Sequence in context: A210570 A224839 A122437 * A090848 A184657 A310136

Adjacent sequences:  A286985 A286986 A286987 * A286989 A286990 A286991

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 18 2017

STATUS

approved

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Last modified January 16 13:57 EST 2022. Contains 350376 sequences. (Running on oeis4.)