A347150 Decimal expansion of the Dirichlet eta function at 8.

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

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 (127/128) * zeta(8).

Equals 127 * Pi^8 / 1209600.

Equals Sum_{k>=1} (-1)^(k+1) / k^8.

Equals eta(8).

Example

0.9962330018526478992272892600828036178741251594728980...

Mathematica

RealDigits[DirichletEta[8], 10, 100][[1]] (* Amiram Eldar, Aug 20 2021 *)

Prog

(PARI) -polylog(8, -1) \\ Michel Marcus, Aug 20 2021

Crossrefs

Cf. A072691, A197070, A267315, A267316, A275703, A275710, A346927, A347059.

Sequence in context: A346930 A175571 A019894 * A346850 A344505 A334478

Adjacent sequences: A347147 A347148 A347149 * A347151 A347152 A347153

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 19 2021

Status

approved