A038126 a(n) = floor( sqrt(2*Pi)*n ) (a Beatty sequence).

0, 2, 5, 7, 10, 12, 15, 17, 20, 22, 25, 27, 30, 32, 35, 37, 40, 42, 45, 47, 50, 52, 55, 57, 60, 62, 65, 67, 70, 72, 75, 77, 80, 82, 85, 87, 90, 92, 95, 97, 100, 102, 105, 107, 110, 112, 115, 117, 120, 122, 125, 127, 130, 132, 135, 137, 140, 142, 145, 147, 150, 152, 155, 157

Offset: 0

Author

N. J. A. Sloane, Felice Russo

Keywords

• nonn

Comments

Of course this is different from A047215 (they first differ at n=77).

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Eric Weisstein's World of Mathematics, Beatty Sequence.
• Index entries for sequences related to Beatty sequences.

Crossrefs

Cf. A019727, A047215.

Programs

Magma

R:= RealField(20); [Floor(n*Sqrt(2*Pi(R))): n in [0..100]]; // G. C. Greubel, Sep 08 2018

Mathematica

With[{c=Sqrt[2*Pi]},Floor[c*#]&/@Range[0,70]] (* Harvey P. Dale, Nov 14 2014 *)

PARI

vector(100, n, n--; floor(n*sqrt(2*Pi))) \\ G. C. Greubel, Sep 08 2018