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A346260
Decimal expansion of 24611 * Pi^8 / (165150720 * sqrt(2)).
3
9, 9, 9, 8, 4, 5, 2, 1, 5, 4, 7, 9, 2, 2, 5, 6, 0, 0, 4, 6, 2, 8, 7, 9, 8, 8, 9, 4, 7, 7, 1, 8, 5, 2, 0, 7, 7, 8, 4, 9, 4, 8, 3, 3, 3, 9, 8, 9, 4, 8, 1, 7, 9, 6, 9, 9, 4, 0, 6, 5, 5, 7, 0, 0, 7, 9, 7, 5, 5, 5, 3, 4, 6, 3, 8, 9, 9, 4, 2, 5, 3, 6, 8, 9, 7, 1, 5
OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (327).
FORMULA
Equals 24611 * Pi^8 / (2^19 * 3^2 * 5 * 7 * sqrt(2)).
Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^8 + (-1)^k/(4*k+1)^8 ).
EXAMPLE
0.99984521547922560046287988947718520...
MATHEMATICA
RealDigits[24611 * Pi^8 / (165150720 * Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Jul 30 2021
STATUS
approved