A059553 Beatty sequence for Gamma(2/3).
1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 18, 20, 21, 23, 24, 25, 27, 28, 29, 31, 32, 33, 35, 36, 37, 39, 40, 41, 43, 44, 46, 47, 48, 50, 51, 52, 54, 55, 56, 58, 59, 60, 62, 63, 64, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 88, 89, 90, 92, 93, 94, 96
Offset: 1
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
Programs
-
Magma
[Floor(n*Gamma(2/3)): n in [1..80]]; // Vincenzo Librandi, Jan 06 2015
-
Mathematica
Floor[Range[100]*Gamma[2/3]] (* Paolo Xausa, Jul 05 2024 *)
-
PARI
{ default(realprecision, 100); b=gamma(2/3); for (n = 1, 2000, write("b059553.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009
Formula
a(n) = floor(n*Gamma(2/3)). - Michel Marcus, Jan 04 2015