OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (329).
LINKS
Michael I. Shamos, Shamos's catalog of the real numbers (2011).
FORMULA
Equals 41^2 * Pi^6 / (2^8 * 3^6 * 5 * sqrt(3)).
Equals 1 + Sum_{k>=1} ( (-1)^k/(6*k-1)^6 + (-1)^k/(6*k+1)^6 ).
EXAMPLE
0.99992821782510442180143305623089402637...
MATHEMATICA
First[RealDigits[N[41^2*Pi^6/(2^8*3^6*5*Sqrt[3]), 100]]] (* Stefano Spezia, Jul 19 2021 *)
RealDigits[1681 Pi^6/(933120 Sqrt[3]), 10, 120][[1]] (* Harvey P. Dale, Oct 01 2023 *)
CROSSREFS
KEYWORD
AUTHOR
Sean A. Irvine, Jul 18 2021
STATUS
approved