A022839 Beatty sequence for sqrt(5).

2, 4, 6, 8, 11, 13, 15, 17, 20, 22, 24, 26, 29, 31, 33, 35, 38, 40, 42, 44, 46, 49, 51, 53, 55, 58, 60, 62, 64, 67, 69, 71, 73, 76, 78, 80, 82, 84, 87, 89, 91, 93, 96, 98, 100, 102, 105, 107, 109, 111, 114, 116, 118, 120, 122, 125, 127, 129, 131, 134, 136

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

R. L. Graham, S. Lin and C.-S. Lin, Spectra of numbers, Math. Mag. 51 (1978), 174-176.

Index entries for sequences related to Beatty sequences

Formula

a(n) = floor(n*sqrt(5)). - G. C. Greubel, Sep 28 2018

Maple

a:=n->floor(n*sqrt(5)): seq(a(n), n=1..70); # Muniru A Asiru, Sep 28 2018

Mathematica

With[{c=Sqrt[5]}, Floor[c*Range[70]]] (* Harvey P. Dale, Mar 19 2012 *)

Prog

(Magma) [Floor(n*Sqrt(5)): n in [1..60]]; // Vincenzo Librandi, Oct 22 2011
(PARI) vector(60, n, floor(n*sqrt(5))) \\ G. C. Greubel, Sep 28 2018
(PARI) a(n)=sqrtint(5*n^2) \\ Charles R Greathouse IV, Jan 24 2022
(Python)
from math import isqrt
def A022839(n): return isqrt(5*n**2) # Chai Wah Wu, Sep 07 2022

Crossrefs

Cf. A026262; complement of A108598.

Sequence in context: A190327 A241176 A184809 * A193766 A262773 A186152

Adjacent sequences: A022836 A022837 A022838 * A022840 A022841 A022842

Keyword

nonn,easy

Author

Clark Kimberling

Status

approved