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

Author

Sean A. Irvine, Aug 14 2021

Keywords

• nonn
• cons

Examples

			0.998094297541605330767783031852597950...
		

References

• L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (306).

Links

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

Crossrefs

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

Programs

Mathematica

First[RealDigits[N[DirichletEta[9],87]]] (* Stefano Spezia, Aug 15 2021 *)

PARI

-polylog(9, -1) \\ Michel Marcus, Aug 15 2021

Formula

Equals (255/256) * zeta(9).

Equals Sum_{k>=1} (-1)^(k+1) / k^9.

Equals eta(9).