A059543 - OEIS

A059543

Beatty sequence for log(3).

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96

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OFFSET

1,2

COMMENTS

Differs from A160542 at indices n=81, 91, 101, 111, 121, 131, 141, 151, 152, 161 etc. - R. J. Mathar, May 20 2009

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

FORMULA

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

MAPLE

A059543 := proc(n)

floor(n*log(3)) ;

end proc:

seq(A059543(n), n=1..100) ; # R. J. Mathar, Jun 26 2023

MATHEMATICA

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

PROG