A093597 - OEIS

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A093597

Numerator of Sum_{k in A026424} 1/k^(2n).

1, 1, 4, 59, 521, 872492, 415603, 67323341, 33484369708417, 249063001217323, 402233765088019, 2340564635396243082668, 1836709980831869650909, 7917057291763619291770993, 6790679763108188972468718224386027

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..15.

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: A037066 A113251 A183462 * A257069 A199107 A280668

Adjacent sequences: A093594 A093595 A093596 * A093598 A093599 A093600

KEYWORD

nonn,frac

AUTHOR

Eric W. Weisstein, Apr 03 2004

STATUS

approved