A059537 - OEIS

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A059537

Beatty sequence for zeta(3).

1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 84, 85

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

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

FORMULA

a(n) = A047226(n+1), 1<=n<99. - R. J. Mathar, Oct 05 2008

a(n) = floor(n*zeta(3)). - Michel Marcus, Jan 04 2015

MATHEMATICA

Floor[Range[100]*Zeta[3]] (* Paolo Xausa, Jul 07 2024 *)

PROG

(PARI) { default(realprecision, 100); b=zeta(3); for (n = 1, 2000, write("b059537.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 27 2009

CROSSREFS

Beatty complement is A059538.

Cf. A002117 (zeta(3)).