A059554 Beatty sequence for Gamma(2/3)/(Gamma(2/3)-1).

3, 7, 11, 15, 19, 22, 26, 30, 34, 38, 42, 45, 49, 53, 57, 61, 65, 68, 72, 76, 80, 84, 87, 91, 95, 99, 103, 107, 110, 114, 118, 122, 126, 130, 133, 137, 141, 145, 149, 152, 156, 160, 164, 168, 172, 175, 179, 183, 187, 191, 195, 198, 202, 206, 210, 214, 217, 221

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

Beatty complement is A059553.

Cf. A073006.

Programs

Mathematica

Floor[Range[100]*(1 + 1/(Gamma[2/3] - 1))] (* Paolo Xausa, Jul 05 2024 *)

PARI

{ default(realprecision, 100); b=gamma(2/3)/(gamma(2/3) - 1); for (n = 1, 2000, write("b059554.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009

Formula

a(n) = floor(n*gamma(2/3)/(gamma(2/3)-1)). - Michel Marcus, Jan 05 2015