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%I #9 Dec 26 2015 02:07:24
%S 1,-4,-20,188,5260,-6244,-2601620,-32352772,1819651660,70205109596,
%T -1222831819220,-150917074955332,-1035896603485940,350980640716235036,
%U 12868008338514067180,-796662150577236175492
%N Polylogarithm li(-n,-4/9) multiplied by (13^(n+1))/9.
%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=4,q=9.
%H Stanislav Sykora, <a href="/A213144/b213144.txt">Table of n, a(n) for n = 0..100</a>
%F See formula in A212846, setting p=4,q=9.
%e polylog(-5,-4/9)*13^6/9 = -6244.
%t p = 4; q = 9; 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, 4, 9)
%Y Cf. A212846, A210246, A212847, A213127 to A213143.
%Y Cf. A213145 to A213157.
%K sign
%O 0,2
%A _Stanislav Sykora_, Jun 06 2012
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