A183142 Beatty sequence for 2/(3+sqrt(3)).

0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 19, 19, 20, 20, 21, 21, 21, 22, 22, 23, 23, 24, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30

Offset: 1

Author

Clark Kimberling, Dec 26 2010

Keywords

• nonn

Comments

A097337 (B.s. for 1/sqrt(3)) + A183142 = A001477 (the nonnegative integers).

Crossrefs

Cf. A097337.

Programs

Mathematica

With[{s=(3+Sqrt[3])/2},Floor[Range[100]/s]] (* Harvey P. Dale, Feb 15 2016 *)

PARI

default(realprecision,100); s=(3+sqrt(3))/2; for(n=1,99,print1(floor(n/s),", "))

Formula

a(n) = floor(2*n/(3+sqrt(3))).

Extensions

Definition modified and offset changed to 1 by Georg Fischer, Jul 09 2021