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A346572
Decimal expansion of 2 - 7 * Pi^3 / 216.
4
9, 9, 5, 1, 6, 6, 9, 5, 9, 4, 3, 4, 7, 2, 8, 0, 4, 9, 8, 6, 8, 8, 2, 3, 1, 2, 2, 8, 2, 5, 4, 1, 7, 7, 4, 8, 0, 7, 6, 0, 3, 2, 3, 1, 4, 9, 9, 4, 4, 6, 4, 1, 0, 2, 5, 0, 4, 5, 7, 5, 1, 5, 4, 0, 4, 3, 3, 1, 1, 2, 7, 5, 8, 2, 2, 8, 7, 0, 6, 3, 7, 6, 7, 1, 4, 4, 9
OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (316).
FORMULA
Equals 2 + 7 * Pi^5 / 6^3.
Equals 1 + Sum_{k>=1} ( ((-1)^k/(6*k-1)^3 - (-1)^k/(6*k+1)^3) ).
EXAMPLE
0.995166959434728049868823122825417748...
MATHEMATICA
RealDigits[2 - 7 * Pi^3 / 216, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Jul 23 2021
STATUS
approved