OFFSET
1,1
COMMENTS
See the Hardy reference, p. 65, fourth formula (with a misprint corrected), and the Weisstein link, eqs. (25)-(31). - Wolfdieter Lang, Oct 18 2016
REFERENCES
G. H. Hardy, Ramanujan, AMS Chelsea Publishing, 2002, pp. 64 - 65, (misprint on p.65, line starting with Hence: it should be ... -1/Zeta(s) not ... -Zeta(s)).
LINKS
Eric Weisstein's World of Mathematics, Prime Sums
FORMULA
Numerator of (zeta(2n)^2-zeta(4n))/(2zeta(2n)zeta(4n)).
EXAMPLE
9/(2*Pi^2), 15/(2*Pi^4), 11340/(691*Pi^6), 278775/(7234*Pi^8), ...
CROSSREFS
KEYWORD
nonn,easy,frac
AUTHOR
Eric W. Weisstein, Apr 03 2004
STATUS
approved