A093596 a(n) = Pi^(2n)*denominator of Sum_{k in A030059} 1/k^(2n).

2, 2, 691, 7234, 174611, 163327586881, 13571120588, 55769228412163778, 1154372017217796891921391, 45587914559383477650447161, 786244320265033260236106076, 1325861528365506758393998232189714777

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: A334599 A371203 A013556 * A095304 A111819 A287764

Adjacent sequences: A093593 A093594 A093595 * A093597 A093598 A093599

Keyword

nonn,frac

Author

Eric W. Weisstein, Apr 03 2004

Status

approved