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A093596 a(n) = Pi^(2n)*denominator of Sum_{{k in A030059} 1/k^(2n). 1
2, 2, 691, 7234, 174611, 163327586881, 13571120588, 55769228412163778, 1154372017217796891921391, 45587914559383477650447161, 786244320265033260236106076, 1325861528365506758393998232189714777 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..12.

Eric Weisstein's World of Mathematics, Prime Sums

FORMULA

(Denominator of (zeta(2n)^2-zeta(4n))/(2zeta(2n)zeta(4n)))/Pi^(2n). See Eqns (28) to (31) of the link.

EXAMPLE

9/(2*Pi^2), 15/(2*Pi^4), 11340/(691*Pi^6), 278775/(7234*Pi^8), ...

CROSSREFS

Cf. A030059, A093595.

Sequence in context: A067091 A334599 A013556 * A095304 A111819 A287764

Adjacent sequences:  A093593 A093594 A093595 * A093597 A093598 A093599

KEYWORD

nonn,frac

AUTHOR

Eric W. Weisstein, Apr 03 2004

STATUS

approved

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Last modified July 27 05:26 EDT 2021. Contains 346305 sequences. (Running on oeis4.)