A059541 - OEIS

A059541

Beatty sequence for 1 + log(2).

1, 3, 5, 6, 8, 10, 11, 13, 15, 16, 18, 20, 22, 23, 25, 27, 28, 30, 32, 33, 35, 37, 38, 40, 42, 44, 45, 47, 49, 50, 52, 54, 55, 57, 59, 60, 62, 64, 66, 67, 69, 71, 72, 74, 76, 77, 79, 81, 82, 84, 86, 88, 89, 91, 93, 94, 96, 98, 99, 101, 103, 104, 106, 108, 110, 111, 113

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

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

FORMULA

a(n) = floor(n*(1+log(2))).

MATHEMATICA

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

PROG

(PARI) { default(realprecision, 100); b=1 + log(2); for (n = 1, 2000, write("b059541.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009

CROSSREFS

Beatty complement is A059542.

Cf. A002162.

Sequence in context: A064994 A138235 A329833 * A189682 A003152 A325913

Adjacent sequences: A059538 A059539 A059540 * A059542 A059543 A059544

KEYWORD

nonn,easy

AUTHOR

Mitch Harris, Jan 22 2001

STATUS

approved