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%I #9 Dec 26 2015 02:10:36
%S 1,-9,-9,1611,6471,-1148589,-9872289,1732196331,25810293591,
%T -4461906502269,-102948316013169,17472999720383451,581452715402943111,
%U -96525920129033025549,-4413961128482041139649
%N Polylogarithm li(-n,-9/10) multiplied by (19^(n+1))/10.
%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=9,q=10.
%H Stanislav Sykora, <a href="/A213154/b213154.txt">Table of n, a(n) for n = 0..100</a>
%F See formula in A212846, setting p=9,q=10.
%e polylog(-5,-9/10)*19^6/10 = -1148589.
%t p = 9; q = 10; f[n_] := PolyLog[-n, -p/q] (p + q)^(n + 1)/q; f[0] = 1; Array[f, 20, 0] (* _Robert G. Wilson v_, Dec 25 2015 *)
%o (PARI) in A212846; run limnpq(nmax, 9, 10)
%Y Cf. A212846, A210246, A212847, A213127 to A213153.
%Y Cf. A213155 to A213157.
%K sign
%O 0,2
%A _Stanislav Sykora_, Jun 06 2012