A022842 Beatty sequence for sqrt(8).

2, 5, 8, 11, 14, 16, 19, 22, 25, 28, 31, 33, 36, 39, 42, 45, 48, 50, 53, 56, 59, 62, 65, 67, 70, 73, 76, 79, 82, 84, 87, 90, 93, 96, 98, 101, 104, 107, 110, 113, 115, 118, 121, 124, 127, 130, 132, 135, 138, 141, 144, 147, 149, 152, 155, 158, 161, 164

Offset

1,1

Links

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

N. J. A. Sloane, Families of Essentially Identical Sequences, Mar 24 2021 (Includes this sequence)

Index entries for sequences related to Beatty sequences

Formula

a(n) = floor(2*n*sqrt(2)). - Michel Marcus, Oct 31 2017

Maple

a:=n->floor(2*n*sqrt(2)): seq(a(n), n=1..60); # Muniru A Asiru, Sep 28 2018

Mathematica

Table[Floor[2*n*Sqrt[2]], {n, 1, 60}] (* G. C. Greubel, Sep 28 2018 *)

Prog

(Magma) [Floor(n*Sqrt(8)): n in [1..60]]; // Vincenzo Librandi, Oct 24 2011
(PARI) vector(80, n, floor(2*n*sqrt(2))) \\ G. C. Greubel, Sep 28 2018
(Python)
from sympy import integer_nthroot
def A022842(n): return integer_nthroot(8*n**2, 2)[0] # Chai Wah Wu, Mar 16 2021

Crossrefs

A bisection of A001951. Cf. A010466.

Sequence in context: A282457 A329848 A059560 * A356057 A189525 A189369

Adjacent sequences: A022839 A022840 A022841 * A022843 A022844 A022845

Keyword

nonn,easy

Author

Clark Kimberling

Extensions

Offset changed from 0 to 1 by Vincenzo Librandi, Oct 24 2011

Status

approved