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%I #9 Dec 26 2015 02:07:57
%S 1,-4,-12,188,2580,-28324,-1123212,4593788,791677140,4687508636,
%T -789960600012,-16633684281412,997739785828500,46516458962719196,
%U -1370408093916825612,-140930266128553137412
%N Polylogarithm li(-n,-4/7) multiplied by (11^(n+1))/7.
%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=4,q=7.
%H Stanislav Sykora, <a href="/A213143/b213143.txt">Table of n, a(n) for n = 0..100</a>
%F See formula in A212846, setting p=4,q=7.
%e polylog(-5,-4/7)*11^6/7 = -28324.
%t f[n_] := PolyLog[-n, -4/7] 11^(n + 1)/7; f[0] = 1; Array[f, 20, 0] (* _Robert G. Wilson v_, Dec 25 2015 *)
%o (PARI) in A212846; run limnpq(nmax, 4, 7)
%Y Cf. A212846, A210246, A212847, A213127 to A213142.
%Y Cf. A213144 to A213157.
%K sign
%O 0,2
%A _Stanislav Sykora_, Jun 06 2012