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Search: id:A089639
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A089639 Denominator of (5/2)*sum(k=1,n,(-1)^(k+1)/k^3/C(2k,k)). +0
1
4, 96, 864, 48384, 1209600, 5702400, 25427001600, 203416012800, 31122649958400, 53757304473600, 71550972254361600, 7446481275340800, 278118629152703539200, 278118629152703539200, 40327201227142013184000 (list; graph; listen)
OFFSET

1,1

FORMULA

zeta(3)=5/2*sum(k=1, infty, (-1)^(k+1)/k^3/C(2k, k))

PROGRAM

(PARI) a(n)=denominator(5/2*sum(k=1, n, (-1)^(k+1)/k^3/binomial(2*k, k)))

CROSSREFS

Cf. A002117.

Sequence in context: A116291 A061992 A068114 this_sequence A112092 A062779 A077155

Adjacent sequences: A089636 A089637 A089638 this_sequence A089640 A089641 A089642

KEYWORD

frac,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 01 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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