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A346570
Decimal expansion of 2 - 33367 * Pi^7 / 100776960.
5
9, 9, 9, 9, 8, 8, 4, 4, 8, 4, 3, 8, 7, 2, 8, 2, 4, 7, 8, 3, 8, 1, 3, 1, 5, 7, 2, 3, 9, 1, 7, 9, 6, 4, 9, 9, 8, 5, 8, 8, 0, 7, 3, 1, 6, 6, 4, 0, 8, 1, 0, 6, 8, 4, 2, 9, 4, 1, 0, 3, 1, 1, 3, 3, 7, 6, 8, 2, 6, 8, 6, 1, 5, 8, 0, 4, 0, 5, 4, 0, 5, 8, 4, 6, 0, 0, 5
OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (316).
FORMULA
Equals 2 - 61 * 547 * Pi^7 / (2^10 * 3^9 * 5).
Equals 1 + Sum_{k>=1} ( ((-1)^k/(6*k-1)^7 - (-1)^k/(6*k+1)^7) ).
EXAMPLE
0.9999884484387282478381315723917964998588...
MATHEMATICA
RealDigits[2 - 33367 * Pi^7 / 100776960, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Jul 23 2021
STATUS
approved