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Search: id:A053005
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| A053005 |
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Denominator of beta(2n+1)/pi^(2n+1), where beta(m) = Sum_{k=0..inf} (-1)^k/(2k+1)^m. |
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+0
2
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| 4, 32, 1536, 184320, 8257536, 14863564800, 1569592442880, 5713316492083200, 1096956766479974400, 6713375410857443328000, 408173224980132554342400, 18857602994082124010618880000, 640578267860512766391484416000, 108257727268426657520160866304000000
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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J. M. Borwein and P. B. Borwein, Pi and the AGM, Wiley, 1987, p. 384, Problem 15.
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 89, Problem 37, beta(n).
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LINKS
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Eric Weisstein's World of Mathematics, Dirichlet Beta Function
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EXAMPLE
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beta(5)=5pi^5/1536 so a(2)=1536.
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CROSSREFS
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Cf. A046976.
Sequence in context: A136471 A028369 A081790 this_sequence A012092 A027639 A117620
Adjacent sequences: A053002 A053003 A053004 this_sequence A053006 A053007 A053008
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KEYWORD
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nonn,frac,nice,easy
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AUTHOR
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njas, Feb 21 2000
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