OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (306).
LINKS
Michael I. Shamos, Shamos's catalog of the real numbers (2011).
FORMULA
Equals (127/128) * zeta(8).
Equals 127 * Pi^8 / 1209600.
Equals Sum_{k>=1} (-1)^(k+1) / k^8.
Equals eta(8).
EXAMPLE
0.9962330018526478992272892600828036178741251594728980...
MATHEMATICA
RealDigits[DirichletEta[8], 10, 100][[1]] (* Amiram Eldar, Aug 20 2021 *)
PROG
(PARI) -polylog(8, -1) \\ Michel Marcus, Aug 20 2021
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Aug 19 2021
STATUS
approved