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A346932
Decimal expansion of 7 * Pi^4 / 729.
4
9, 3, 5, 3, 4, 1, 0, 6, 6, 1, 7, 0, 1, 1, 9, 4, 2, 4, 7, 6, 6, 9, 1, 6, 7, 7, 4, 7, 8, 8, 6, 6, 3, 6, 1, 9, 6, 8, 1, 8, 8, 3, 5, 3, 8, 6, 9, 5, 1, 9, 6, 0, 9, 3, 0, 5, 9, 3, 6, 2, 1, 6, 1, 4, 9, 4, 9, 1, 9, 0, 5, 1, 0, 2, 5, 7, 7, 5, 5, 4, 6, 4, 0, 7, 2, 0, 5
OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (312).
FORMULA
Equals 7 * Pi^4 / 3^6.
Equals 1 + Sum_{k>=1} ( (-1)^k/(3*k-1)^4 + (-1)^k/(3*k+1)^4 ).
EXAMPLE
0.9353410661701194247669167747886636196818835386951960...
MATHEMATICA
RealDigits[7 * Pi^4 / 729, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Aug 07 2021
STATUS
approved