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Search: id:A115750
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| A115750 |
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a(n)=sum(k=0,2*n,binomial(2*n,k)*binomial(3*n,2*n+2*k)). |
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+0
1
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| 1, 3, 19, 138, 1051, 8228, 65602, 529840, 4320507, 35492475, 293285544, 2435133110, 20299183738, 169780446228, 1424093337728, 11974638998288, 100907444665595, 851939678134229, 7204872937244995, 61023558185533392
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Integer sequence arising in a Beuker's approximation to Pi (see prop. 8 page 23 of the reference)
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REFERENCES
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Stephane Fischler and Tanguy Rivoal, Un exposant de densite' en approximation rationnelle, preprint 2006
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LINKS
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Tanguy Rivoal, Homepage
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PROGRAM
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(PARI) a(n)=sum(k=0, 2*n, binomial(2*n, k)*binomial(3*n, 2*n+2*k))
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CROSSREFS
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Adjacent sequences: A115747 A115748 A115749 this_sequence A115751 A115752 A115753
Sequence in context: A138513 A094661 A094662 this_sequence A073515 A074559 A027314
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 24 2006
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