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Search: id:A059564
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| A059564 |
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Beatty sequence for (e^2+1)/(e^2-e+1). |
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+0
4
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| 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 36, 38, 39, 41, 42, 44, 45, 47, 48, 50, 51, 53, 54, 56, 57, 59, 60, 62, 63, 65, 66, 68, 69, 71, 72, 73, 75, 76, 78, 79, 81, 82, 84, 85, 87, 88, 90, 91, 93, 94, 96, 97, 99, 100, 102, 103
(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); e=exp(1); b=(e^2 + 1)/(e^2 - e + 1); for (n = 1, 2000, write("b059564.txt", n, " ", floor(n*b)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 28 2009]
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CROSSREFS
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Beatty complement is A059563.
Sequence in context: A138251 A054386 A127450 this_sequence A001651 A003253 A119905
Adjacent sequences: A059561 A059562 A059563 this_sequence A059565 A059566 A059567
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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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