A059536 Beatty sequence for zeta(2)/(zeta(2)-1).

2, 5, 7, 10, 12, 15, 17, 20, 22, 25, 28, 30, 33, 35, 38, 40, 43, 45, 48, 51, 53, 56, 58, 61, 63, 66, 68, 71, 73, 76, 79, 81, 84, 86, 89, 91, 94, 96, 99, 102, 104, 107, 109, 112, 114, 117, 119, 122, 124, 127, 130, 132, 135, 137, 140, 142, 145, 147, 150, 153, 155, 158

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. A013661. Beatty complement is A059535.

Programs

Mathematica

Floor[Range[100]*Zeta[2]/(Zeta[2] - 1)] (* Paolo Xausa, Jul 06 2024 *)

PARI

{ default(realprecision, 100); b=zeta(2)/(zeta(2) - 1); for (n = 1, 2000, write("b059536.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 27 2009

Formula

a(n) = floor(n*zeta(2)/(zeta(2)-1)). - Michel Marcus, Jan 05 2015