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A059558
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Beatty sequence for 1+1/gamma^2.
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3
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4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Also, each entry with two appended 0's corresponds to a terminating-century leap year. - Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 28 2006
The first term where this sequence breaks the progression a(n) = a(n-1) + 4 is a(715) = 2861. - Max Alekseyev, Mar 03 2007
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REFERENCES
| Fraenkel, Aviezri S.; Levitt, Jonathan; and 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
Tanya Khovanova, Non Recursions
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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PROG
| (PARI) { default(realprecision, 100); b=1 + 1/Euler^2; for (n = 1, 2000, write("b059558.txt", n, " ", floor(n*b)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 28 2009]
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CROSSREFS
| Beatty complement is A059557.
Sequence in context: A076310 A161352 A008586 * A008574 A189917 A172326
Adjacent sequences: A059555 A059556 A059557 * A059559 A059560 A059561
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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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