A308358 Beatty sequence for sqrt(3)/4.

0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 19, 19, 20, 20, 21, 21, 22, 22, 22, 23, 23, 24, 24, 25, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 32, 33, 33, 34, 34

Offset: 0

Author

R. J. Mathar, May 22 2019

Keywords

• nonn
• easy

Comments

Differs from A057357 first at n=37.

Links

• Index to sequences related to Beatty sequences

Crossrefs

Cf. A120011.

Programs

Mathematica

Floor[Sqrt[3] Range[0, 100]/4] (* Wesley Ivan Hurt, Dec 26 2023 *)

Formula

a(n) = floor(n*A120011).

A171971(n) = a(n^2).