A346927 Decimal expansion of the Dirichlet eta function at 10.

9, 9, 9, 0, 3, 9, 5, 0, 7, 5, 9, 8, 2, 7, 1, 5, 6, 5, 6, 3, 9, 2, 2, 1, 8, 4, 5, 6, 9, 9, 3, 4, 1, 8, 3, 1, 4, 2, 5, 9, 2, 9, 6, 4, 9, 6, 6, 6, 8, 9, 0, 6, 4, 7, 1, 0, 6, 8, 9, 4, 8, 7, 5, 5, 0, 6, 1, 4, 2, 4, 5, 8, 3, 8, 4, 0, 3, 8, 1, 2, 4, 4, 0, 7, 9, 8, 5

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).

Index entries for transcendental numbers

Formula

Equals 73 * Pi^10 / (2^9 * 3^5 * 5 * 11).

Equals (511/512) * zeta(10).

Equals Sum_{k>=1} (-1)^(k+1) / k^10.

Equals eta(10).

Example

0.999039507598271565639221845699341831425929649666890...

Mathematica

RealDigits[DirichletEta[10], 10, 100][[1]] (* Amiram Eldar, Aug 08 2021 *)

Prog

(PARI) -polylog(10, -1) \\ Michel Marcus, Aug 08 2021

Crossrefs

Cf. A072691, A197070, A267315, A267316, A275703, A275710, A347150, A347059.

Sequence in context: A109942 A339745 A346929 * A197149 A274031 A111623

Adjacent sequences: A346924 A346925 A346926 * A346928 A346929 A346930

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 07 2021

Status

approved