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A286655 Characteristic sequence of the Beatty sequence, A022842, of sqrt(8). 2
0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The positions of 0 are given by A286323, and of 1, by A022842.

LINKS

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

FORMULA

a(n) = 1 - floor((n+1)/(1-1/r) + floor(n(1-1/r)), where r = sqrt(8).

MATHEMATICA

r = Sqrt[8];

s = 1 - Table[Floor[(n + 1) (1 - 1/r) - Floor[n (1 - 1/r)]], {n, 1, 200}] (* A286655 *)

Flatten[Position[s, 0]]  (* A286323 *)

Flatten[Position[s, 1]]  (* A022842 *)

CROSSREFS

Cf. A022842, A286323.

Sequence in context: A118605 A175253 A163584 * A272170 A126565 A215531

Adjacent sequences:  A286652 A286653 A286654 * A286656 A286657 A286658

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 11 2017

STATUS

approved

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Last modified July 23 12:19 EDT 2021. Contains 346259 sequences. (Running on oeis4.)