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Polylogarithm li(-n,-6/7) multiplied by (13^(n+1))/7.
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%I #9 Dec 26 2015 02:08:00

%S 1,-6,-6,498,2010,-163806,-1426326,113319858,1731433530,-133040247486,

%T -3200805321846,235719742497618,8363215587567450,-584103976037953566,

%U -29313609779751086166,1917198413998763777778

%N Polylogarithm li(-n,-6/7) multiplied by (13^(n+1))/7.

%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=6,q=7.

%H Stanislav Sykora, <a href="/A213149/b213149.txt">Table of n, a(n) for n = 0..100</a>

%F See formula in A212846, setting p=6,q=7.

%e polylog(-5,-6/7)*13^6/7 = -163806.

%t p = 6; 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, 6, 7)

%Y Cf. A212846, A210246, A212847, A213127 to A213148.

%Y Cf. A213150 to A213157.

%K sign

%O 0,2

%A _Stanislav Sykora_, Jun 06 2012