A037086 Beatty sequence for sqrt(Pi).

0, 1, 3, 5, 7, 8, 10, 12, 14, 15, 17, 19, 21, 23, 24, 26, 28, 30, 31, 33, 35, 37, 38, 40, 42, 44, 46, 47, 49, 51, 53, 54, 56, 58, 60, 62, 63, 65, 67, 69, 70, 72, 74, 76, 77, 79, 81, 83, 85, 86, 88, 90, 92, 93, 95, 97, 99, 101, 102, 104, 106, 108, 109, 111, 113, 115, 116

Offset: 0

Author

Felice Russo

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A002161.

Programs

Maple

A037086:=n->floor(n*sqrt(Pi)): seq(A037086(n), n=0..100); # Wesley Ivan Hurt, Nov 20 2014

Mathematica

Table[Floor[n*Sqrt[Pi]], {n, 0, 100}] (* Wesley Ivan Hurt, Nov 20 2014 *)

PARI

a(n) = floor(n*sqrt(Pi)); \\ Michel Marcus, Sep 28 2013

Formula

a(n) = floor(n*sqrt(Pi)).

Extensions

More terms from James Sellers, Jul 06 2000