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

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

Maple

A059543 := proc(n)
    floor(n*log(3)) ;
end proc:
seq(A059543(n), n=1..100) ; # R. J. Mathar, Jun 26 2023

Prog

(PARI) { default(realprecision, 100); b=log(3); for (n = 1, 2000, write("b059543.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009

Crossrefs

Beatty complement is A059544.

Cf. A002391 (log(3)).

Cf. A160542.

Sequence in context: A167520 A051882 A136002 * A160542 A241158 A241157

Adjacent sequences: A059540 A059541 A059542 * A059544 A059545 A059546

Keyword

nonn,easy

Author

Mitch Harris, Jan 22 2001

Status

approved