OFFSET
0,5
FORMULA
a(n) = numerator(n*Bernoulli(n)*Zeta(n)*(4-2^(3-n))/Pi^n)) for n >= 2.
EXAMPLE
Rational sequence starts: 0, 1, 1/9, 0, -7/1350, 0, 31/52920, 0, -127/1134000, 0, 365/11290752, ...
MAPLE
a := s -> `if`(s=1 or s=0, s, -4*s^2*Zeta(1 - s)*Zeta(s)*(1 - 2^(1 - s)) / Pi^s):
seq(numer(a(s)), s = 0..34);
CROSSREFS
KEYWORD
sign,frac
AUTHOR
Peter Luschny, Jun 13 2020
STATUS
approved