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

Offset

1,2

Links

Harry J. Smith, Table of n, a(n) for n = 1..2000

Aviezri S. Fraenkel, Jonathan Levitt, 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

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)).

Sequence in context: A183293 A184524 A047226 * A039259 A191610 A037465

Adjacent sequences: A059534 A059535 A059536 * A059538 A059539 A059540

Keyword

nonn,easy

Author

Mitch Harris, Jan 22 2001

Status

approved