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

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..5000

Index entries for sequences related to Beatty sequences

Formula

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

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 *)

Prog

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

Crossrefs

Cf. A002161.

Sequence in context: A187330 A059546 A284366 * A327212 A329825 A059565

Adjacent sequences: A037083 A037084 A037085 * A037087 A037088 A037089

Keyword

nonn,easy

Author

Felice Russo

Extensions

More terms from James A. Sellers, Jul 06 2000

Status

approved