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A346571
Decimal expansion of 2 - 305 * Pi^5 / 93312.
6
9, 9, 9, 7, 4, 2, 7, 5, 6, 9, 9, 2, 5, 5, 3, 5, 4, 8, 8, 9, 9, 0, 0, 4, 4, 1, 9, 9, 7, 5, 4, 8, 1, 6, 1, 0, 3, 3, 4, 2, 3, 6, 5, 8, 7, 7, 7, 4, 7, 4, 6, 3, 1, 2, 1, 6, 9, 7, 6, 1, 7, 0, 9, 9, 1, 6, 1, 7, 7, 2, 0, 5, 4, 9, 6, 0, 5, 3, 2, 6, 7, 8, 7, 3, 7, 5, 7
OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (316).
FORMULA
Equals 2 + 5 * 61 * Pi^5 / (2^7 * 3^6).
Equals 1 + Sum_{k>=1} ( ((-1)^k/(6*k-1)^5 - (-1)^k/(6*k+1)^5) ).
EXAMPLE
0.99974275699255354889900441997548161...
MATHEMATICA
RealDigits[2 - 305 * Pi^5 / 93312, 10, 120][[1]] (* Amiram Eldar, Jun 21 2023 *)
PROG
(PARI) 2-305*Pi^5/93312 \\ Charles R Greathouse IV, Sep 28 2022
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Jul 23 2021
STATUS
approved