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A059561 Beatty sequence for ln(Pi). +0
3
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 80, 81 (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)=A004777(n+1), 1<=n<83. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 05 2008]

PROGRAM

(PARI) { default(realprecision, 100); b=log(Pi); for (n = 1, 2000, write("b059561.txt", n, " ", floor(n*b)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 28 2009]

CROSSREFS

Beatty complement is A059562.

Sequence in context: A052419 A047421 A004777 this_sequence A037474 A000378 A022551

Adjacent sequences: A059558 A059559 A059560 this_sequence A059562 A059563 A059564

KEYWORD

nonn,easy

AUTHOR

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

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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