A276858 First differences of the Beatty sequence A022842 for sqrt(8).

2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3

Offset

1,1

Links

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

Formula

a(n) = floor(n*r) - floor(n*r - r), where r = sqrt(8), n >= 1.

Mathematica

z = 500; r = Sqrt[8]; b = Table[Floor[k*r], {k, 0, z}] (* A022842 *)
Differences[b] (* A276858 *)

Crossrefs

Cf. A022842, A276874.

Sequence in context: A359514 A237367 A022923 * A247656 A294081 A192454

Adjacent sequences: A276855 A276856 A276857 * A276859 A276860 A276861

Keyword

nonn,easy

Author

Clark Kimberling, Sep 24 2016

Status

approved