OFFSET
0,1
LINKS
OEIS Wiki, Euler's alternating zeta function
Eric Weisstein's World of Mathematics, Dirichlet Eta Function
Wikipedia, Dirichlet Eta Function
FORMULA
Equals Sum_{k > 0} (-1)^(k+1)/k^5 = (15*zeta(5))/16.
EXAMPLE
1/1^5 - 1/2^5 + 1/3^5 - 1/4^5 + 1/5^5 - 1/6^5 + ... = 0.972119770446909305935655143553469532553513362...
MATHEMATICA
RealDigits[(15 Zeta[5])/16, 10, 120][[1]]
PROG
(PARI) 15*zeta(5)/16 \\ Michel Marcus, Feb 01 2016
(Sage) s = RLF(0); s
RealField(110)(s)
for i in range(1, 10000): s += -((-1)^i/((i)^5))
print(s) # Terry D. Grant, Aug 05, 2016
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Jan 13 2016
STATUS
approved