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Search: id:A057863
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| 1, 1, 3, 45, 4725, 4465125, 46414974375, 6272287562165625, 12714083695698776015625, 438120013555654794702228515625, 286849911214281324754704976473779296875
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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a(n) is the coefficient of the closed form for BarnesG[(2n-1)/2].
a(n) is the hook product corresponding to the partition (n,n-1,...,2,1). a(n)=(n(n+1)/2)!/A005118(n+1). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 21 2004
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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MATHEMATICA
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a[n_] := Product[2^i Gamma[1/2+i]/Sqrt[Pi], {i, n-2}]
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PROGRAM
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(PARI) a(n)=prod(k=0, n, prod(i=0, k, 2*i+1))
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CROSSREFS
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Cf. A000178.
Cf. A005118.
Adjacent sequences: A057860 A057861 A057862 this_sequence A057864 A057865 A057866
Sequence in context: A099168 A004105 A060336 this_sequence A124488 A086683 A037105
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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Simpler description from Benoit Cloitre (benoit7848c(AT)orange.fr), May 03 2003
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