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A346850
Decimal expansion of 2 - 19 * Pi^5 / (4096 * sqrt(2)).
3
9, 9, 6, 2, 4, 4, 3, 1, 3, 6, 0, 4, 3, 4, 4, 9, 8, 9, 0, 1, 5, 0, 0, 0, 2, 4, 5, 5, 2, 9, 0, 4, 9, 5, 2, 1, 4, 5, 5, 4, 5, 2, 0, 5, 7, 0, 8, 1, 8, 6, 0, 3, 2, 3, 9, 1, 6, 5, 6, 1, 9, 8, 1, 9, 6, 7, 6, 3, 0, 8, 5, 2, 6, 3, 6, 6, 2, 8, 0, 0, 7, 9, 2, 5, 5, 5, 7
OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (326).
FORMULA
Equals 2 - 19 * Pi^5 / (2^12 * sqrt(2)).
Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^5 - (-1)^k/(4*k+1)^5 ).
EXAMPLE
0.9962443136043449890150002455290495214554520...
MATHEMATICA
RealDigits[2 - 19*Pi^5/(4096*Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 13 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Aug 06 2021
STATUS
approved