A059538 Beatty sequence for zeta(3)/(zeta(3)-1).

5, 11, 17, 23, 29, 35, 41, 47, 53, 59, 65, 71, 77, 83, 89, 95, 101, 107, 113, 118, 124, 130, 136, 142, 148, 154, 160, 166, 172, 178, 184, 190, 196, 202, 208, 214, 220, 226, 232, 237, 243, 249, 255, 261, 267, 273, 279, 285, 291, 297, 303, 309, 315, 321, 327

Offset: 1

Author

Mitch Harris, Jan 22 2001

Keywords

• nonn
• easy

Links

• Harry J. Smith, Table of n, a(n) for n = 1..2000
• Aviezri S. Fraenkel, Jonathan Levitt and Michael Shimshoni, Characterization of the set of values f(n)=[n alpha], n=1,2,..., Discrete Math. 2 (1972), no.4, 335-345.
• Eric Weisstein's World of Mathematics, Beatty Sequence.
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A002117. Beatty complement is A059537.

Programs

Mathematica

Floor[Range[100]*(1 + 1/(Zeta[3] - 1))] (* Paolo Xausa, Jul 08 2024 *)

PARI

{ default(realprecision, 100); b=zeta(3)/(zeta(3) - 1); for (n = 1, 2000, write("b059538.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 27 2009

Formula

a(n) = floor(n*zeta(3)/(zeta(3)-1)). - Michel Marcus, Jan 05 2015