A059542 Beatty sequence for 1 + 1/log(2).

2, 4, 7, 9, 12, 14, 17, 19, 21, 24, 26, 29, 31, 34, 36, 39, 41, 43, 46, 48, 51, 53, 56, 58, 61, 63, 65, 68, 70, 73, 75, 78, 80, 83, 85, 87, 90, 92, 95, 97, 100, 102, 105, 107, 109, 112, 114, 117, 119, 122, 124, 127, 129, 131, 134, 136, 139, 141, 144, 146, 149, 151

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, 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 A059541.

Cf. A002162, A007525.

Programs

Mathematica

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

PARI

{ default(realprecision, 100); b=1 + 1/log(2); for (n = 1, 2000, write("b059542.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009

Formula

a(n) = floor(n*(1+1/log(2))). - Michel Marcus, Jan 04 2015

a(n) = n+A307513(n). - R. J. Mathar, Jan 04 2020