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A347059
Decimal expansion of the Dirichlet eta function at 9.
3
9, 9, 8, 0, 9, 4, 2, 9, 7, 5, 4, 1, 6, 0, 5, 3, 3, 0, 7, 6, 7, 7, 8, 3, 0, 3, 1, 8, 5, 2, 5, 9, 7, 9, 5, 0, 8, 7, 4, 3, 3, 3, 9, 5, 3, 5, 3, 7, 8, 7, 7, 4, 7, 2, 3, 4, 3, 3, 2, 8, 6, 6, 0, 3, 7, 8, 8, 8, 7, 4, 5, 5, 5, 2, 5, 4, 5, 2, 7, 0, 2, 0, 7, 9, 4, 9, 3
OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (306).
FORMULA
Equals (255/256) * zeta(9).
Equals Sum_{k>=1} (-1)^(k+1) / k^9.
Equals eta(9).
EXAMPLE
0.998094297541605330767783031852597950...
MATHEMATICA
First[RealDigits[N[DirichletEta[9], 87]]] (* Stefano Spezia, Aug 15 2021 *)
PROG
(PARI) -polylog(9, -1) \\ Michel Marcus, Aug 15 2021
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Aug 14 2021
STATUS
approved