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 7 * Pi^4 / 3^6.
Equals 1 + Sum_{k>=1} ( (-1)^k/(3*k-1)^4 + (-1)^k/(3*k+1)^4 ).
EXAMPLE
0.9353410661701194247669167747886636196818835386951960...
MATHEMATICA
RealDigits[7 * Pi^4 / 729, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Aug 07 2021
STATUS
approved