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A059557
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Beatty sequence for 1+gamma^2, (gamma is the Euler-Mascheroni constant A001620).
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2
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1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 51, 53, 54, 55, 57, 58, 59, 61, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87, 89, 90, 91, 93, 94
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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.
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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
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FORMULA
| a(n)=A042968(n-1), 1<=n<2146. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 05 2008]
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PROG
| (PARI) { default(realprecision, 100); b=1 + Euler^2; for (n = 1, 2000, write("b059557.txt", n, " ", floor(n*b)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 28 2009]
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CROSSREFS
| Beatty complement is A059558.
Sequence in context: A187386 A059531 A039053 * A195291 A042968 A048103
Adjacent sequences: A059554 A059555 A059556 * A059558 A059559 A059560
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KEYWORD
| nonn,easy
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AUTHOR
| Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu), Jan 22, 2001
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