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A059537 Beatty sequence for zeta(3). +0
2
1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 84, 85 (list; graph; listen)
OFFSET

1,2

REFERENCES

Fraenkel, Aviezri S.; Levitt, Jonathan; Shimshoni, Michael; Characterization of the set of values f(n)=[n alpha], n=1,2,... Discrete Math.2 (1972), no.4,335-345.

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,2000

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to Beatty sequences

FORMULA

a(n)=A047226(n+1), 1<=n<99. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 05 2008]

PROGRAM

(PARI) { default(realprecision, 100); b=zeta(3); for (n = 1, 2000, write("b059537.txt", n, " ", floor(n*b)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 27 2009]

CROSSREFS

Beatty complement is A059538.

Sequence in context: A039223 A028392 A047226 this_sequence A039259 A037465 A157846

Adjacent sequences: A059534 A059535 A059536 this_sequence A059538 A059539 A059540

KEYWORD

nonn,easy

AUTHOR

Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu), Jan 22, 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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