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

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.

Sequence in context: A060131 A343391 A024677 * A174296 A163178 A219545

Adjacent sequences: A276853 A276854 A276855 * A276857 A276858 A276859

Keyword

nonn,easy

Author

Clark Kimberling, Sep 24 2016

Status

approved