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A093597 Numerator of Sum_{k in A026424} [1/k^(2n)]. +0
2
1, 1, 4, 59, 521, 872492, 415603, 67323341, 33484369708417, 249063001217323, 402233765088019, 2340564635396243082668, 1836709980831869650909, 7917057291763619291770993, 6790679763108188972468718224386027 (list; graph; listen)
OFFSET

1,3

LINKS

Eric Weisstein's World of Mathematics, Prime Sums

FORMULA

1/Pi^(2n) * numerator of (Zeta[2n]^2-Zeta[4n])/(2Zeta[2n]).

EXAMPLE

Pi^2/20, Pi^4/1260, (4*Pi^6)/225225, (59*Pi^8)/137837700, ...

CROSSREFS

Cf. A026424, A093598.

Sequence in context: A144992 A037066 A113251 this_sequence A126754 A026586 A058173

Adjacent sequences: A093594 A093595 A093596 this_sequence A093598 A093599 A093600

KEYWORD

nonn,frac

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Apr 03, 2004

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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