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A346930
Decimal expansion of 5207 * Pi^8 / 49601160.
4
9, 9, 6, 0, 8, 1, 1, 6, 0, 2, 1, 2, 3, 7, 1, 6, 2, 3, 0, 6, 5, 2, 3, 6, 6, 3, 2, 5, 4, 7, 3, 5, 4, 3, 2, 6, 0, 5, 6, 1, 2, 8, 7, 9, 8, 3, 7, 5, 5, 8, 4, 7, 1, 5, 7, 1, 6, 6, 7, 3, 6, 8, 2, 5, 9, 6, 4, 0, 2, 8, 7, 9, 5, 2, 6, 1, 2, 3, 5, 0, 9, 4, 7, 9, 5, 4, 9
OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (312).
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