A347059 Decimal expansion of the Dirichlet eta function at 9.

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).

Links

Table of n, a(n) for n=0..86.

Michael I. Shamos, Shamos's catalog of the real numbers (2011).

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

Crossrefs

Cf. A072691, A197070, A267315, A267316, A275703, A275710, A347150, A346927.

Sequence in context: A144669 A344688 A346451 * A202692 A259149 A292825

Adjacent sequences: A347056 A347057 A347058 * A347060 A347061 A347062

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 14 2021

Status

approved