A059548 Beatty sequence for 1 + log(3).

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 128, 130, 132, 134

Offset: 1

Author

Mitch Harris, Jan 22 2001

Keywords

• nonn
• easy

Comments

Different from A064720, although the sequences agree for about 1400 terms. - Joshua Zucker, Apr 25 2007

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 A059547.

Cf. A002391.

Programs

Mathematica

Floor[Range[100]*(1 + Log[3])] (* Paolo Xausa, Jul 05 2024 *)

PARI

{ default(realprecision, 100); b=1 + log(3); for (n = 1, 2000, write("b059548.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009

Formula

a(n) = floor(n*(1 + A002391)). - Paolo Xausa, Jul 05 2024