A276856 - OEIS

A276856

First differences of the Beatty sequence A022840 for sqrt(6).

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

(list; graph; refs; listen; history; text; internal format)

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(6), n >= 1.

MATHEMATICA

z = 500; r = Sqrt[6]; b = Table[Floor[k*r], {k, 0, z}] (* A022840 *)

Differences[b] (* A276856 *)

CROSSREFS

Cf. A022840, A276872.