A276869 First differences of the Beatty sequence A182769 for 2 + sqrt(1/2).

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

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. A182769, A276888.

Programs

Mathematica

z = 500; r = 2+Sqrt[1/2]; b = Table[Floor[k*r], {k, 0, z}]; (* A182769 *)
Differences[b] (* A276869 *)

Formula

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