A276865 First differences of the Beatty sequence A003512 for 2 + sqrt(3).

3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3

Offset: 1

Author

Clark Kimberling, Sep 24 2016

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A003512, A276883.

Programs

Mathematica

z = 500; r = 2+Sqrt[3]; b = Table[Floor[k*r], {k, 0, z}] (* A003512 *)
Differences[b] (* A276865 *)

Formula

a(n) = floor(n*r) - floor(n*r - r), where r = 2 + sqrt(3), n >= 1.