OFFSET
0,1
COMMENTS
Note Shamos has a typo, 25743 instead of 257543.
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 11 * 13 * 1801 * Pi^8 / (2^11 * 3^9 * 5 * 7 * sqrt(3)).
Equals 1 + Sum_{k>=1} ( (-1)^k/(6*k-1)^8 + (-1)^k/(6*k+1)^8 ).
EXAMPLE
0.9999972722389309471467818749637839272444862497...
MATHEMATICA
First[RealDigits[N[11*13*1801*Pi^8/(2^11*3^9*5*7*Sqrt[3]), 100]]] (* Stefano Spezia, Jul 19 2021 *)
CROSSREFS
KEYWORD
AUTHOR
Sean A. Irvine, Jul 18 2021
STATUS
approved