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%I #9 Dec 26 2015 02:07:31
%S 1,-5,-10,330,2760,-82680,-1593360,40988880,1552095360,-31261956480,
%T -2267818248960,29423279911680,4603691259048960,-17797429029473280,
%U -12287671292043970560,-95184807512707307520
%N Polylogarithm li(-n,-5/7) multiplied by (12^(n+1))/7.
%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=5,q=7.
%H Stanislav Sykora, <a href="/A213146/b213146.txt">Table of n, a(n) for n = 0..100</a>
%F See formula in A212846, setting p=5,q=7.
%e polylog(-5,-5/7)*12^6/7 = -82680.
%t p = 5; q = 7; 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, 5, 7)
%Y Cf. A212846, A210246, A212847, A213127 to A213145.
%Y Cf. A213147 to A213157.
%K sign
%O 0,2
%A _Stanislav Sykora_, Jun 06 2012
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