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Search: id:A059535
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| A059535 |
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Beatty sequence for Pi^2/6, or zeta(2). |
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+0
3
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| 1, 3, 4, 6, 8, 9, 11, 13, 14, 16, 18, 19, 21, 23, 24, 26, 27, 29, 31, 32, 34, 36, 37, 39, 41, 42, 44, 46, 47, 49, 50, 52, 54, 55, 57, 59, 60, 62, 64, 65, 67, 69, 70, 72, 74, 75, 77, 78, 80, 82, 83, 85, 87, 88, 90, 92, 93, 95, 97, 98, 100, 101, 103, 105, 106, 108, 110, 111
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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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.
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LINKS
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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
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PROGRAM
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(PARI) { default(realprecision, 100); b=zeta(2); for (n = 1, 2000, write("b059535.txt", n, " ", floor(n*b)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 27 2009]
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CROSSREFS
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Beatty complement is A059536.
Adjacent sequences: A059532 A059533 A059534 this_sequence A059536 A059537 A059538
Sequence in context: A000202 A026339 A109259 this_sequence A061402 A047206 A081031
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KEYWORD
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nonn,easy
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AUTHOR
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Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu), Jan 22, 2001
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