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%I #12 Nov 03 2023 05:28:16
%S 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,
%T 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,
%U 9,6,4,8,2,5,7,7,5,8,5,8,9,2,8,2,8,2,4
%N Decimal expansion of the Dirichlet eta function at 8.
%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (306).
%H Michael I. Shamos, <a href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.366.9997">Shamos's catalog of the real numbers</a> (2011).
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F Equals (127/128) * zeta(8).
%F Equals 127 * Pi^8 / 1209600.
%F Equals Sum_{k>=1} (-1)^(k+1) / k^8.
%F Equals eta(8).
%e 0.9962330018526478992272892600828036178741251594728980...
%t RealDigits[DirichletEta[8], 10, 100][[1]] (* _Amiram Eldar_, Aug 20 2021 *)
%o (PARI) -polylog(8, -1) \\ _Michel Marcus_, Aug 20 2021
%Y Cf. A072691, A197070, A267315, A267316, A275703, A275710, A346927, A347059.
%K nonn,cons
%O 0,1
%A _Sean A. Irvine_, Aug 19 2021
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