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%I #17 Aug 20 2021 16:01:11
%S 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,
%T 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,
%U 7,4,5,5,5,2,5,4,5,2,7,0,2,0,7,9,4,9,3
%N Decimal expansion of the Dirichlet eta function at 9.
%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).
%F Equals (255/256) * zeta(9).
%F Equals Sum_{k>=1} (-1)^(k+1) / k^9.
%F Equals eta(9).
%e 0.998094297541605330767783031852597950...
%t First[RealDigits[N[DirichletEta[9],87]]] (* _Stefano Spezia_, Aug 15 2021 *)
%o (PARI) -polylog(9, -1) \\ _Michel Marcus_, Aug 15 2021
%Y Cf. A072691, A197070, A267315, A267316, A275703, A275710, A347150, A346927.
%K nonn,cons
%O 0,1
%A _Sean A. Irvine_, Aug 14 2021
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