OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (312).
LINKS
Michael I. Shamos, Shamos's catalog of the real numbers (2011).
FORMULA
Equals 41 * 127 * Pi^8 / (2^3 * 3^11 * 5 * 7).
Equals 1 + Sum_{k>=1} ( (-1)^k/(3*k-1)^8 + (-1)^k/(3*k+1)^8 ).
EXAMPLE
0.9960811602123716230652366325473543260...
MATHEMATICA
RealDigits[5207 * Pi^8 / 49601160, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Aug 07 2021
STATUS
approved