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A059540 revision #20

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 + 1/(A002581 - 1))). - Paolo Xausa, Jul 05 2024

MATHEMATICA

Floor[Range[100]*(1 + 1/(CubeRoot[3] - 1))] (* Paolo Xausa, Jul 05 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. A002581.

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