The On-Line Encyclopedia of Integer Sequences (OEIS)

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A059540 revision #23

A059540

Beatty sequence for 3^(1/3)/(3^(1/3)-1).

3, 6, 9, 13, 16, 19, 22, 26, 29, 32, 35, 39, 42, 45, 48, 52, 55, 58, 61, 65, 68, 71, 75, 78, 81, 84, 88, 91, 94, 97, 101, 104, 107, 110, 114, 117, 120, 123, 127, 130, 133, 136, 140, 143, 146, 150, 153, 156, 159, 163, 166, 169, 172, 176, 179, 182, 185, 189, 192

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

OFFSET

1,1

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/(1 - A072365)). - Paolo Xausa, Jul 17 2024

MATHEMATICA

Floor[Range[100]/(1 - 3^(-1/3))] (* Paolo Xausa, Jul 17 2024 *)

PROG

(PARI) { default(realprecision, 100); b=3^(1/3)/(3^(1/3) - 1); for (n = 1, 2000, write("b059540.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009

CROSSREFS

Beatty complement is A059539.

Cf. A072365.

Sequence in context: A022853 A198264 A186516 * A190363 A059550 A080081

Adjacent sequences: A059537 A059538 A059539 * A059541 A059542 A059543

KEYWORD

nonn,easy

AUTHOR

Mitch Harris, Jan 22 2001

STATUS

editing