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%I #9 Dec 26 2015 02:07:07
%S 1,-3,-12,78,1824,240,-513120,-5857680,196293120,6811964160,
%T -57818956800,-8095402329600,-83402198630400,10192670228889600,
%U 371764953132748800,-11291351664942336000,-1131884186768228352000
%N Polylogarithm li(-n,-3/7) multiplied by (10^(n+1))/7.
%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=3,q=7.
%H Stanislav Sykora, <a href="/A213139/b213139.txt">Table of n, a(n) for n = 0..100</a>
%F See formula in A212846, setting p=3,q=7.
%e polylog(-5,-3/7)*10^6/7 = 240
%t f[n_] := PolyLog[-n, -3/7] 10^(n + 1)/7; f[0] = 1; Array[f, 20, 0] (* _Robert G. Wilson v_, Dec 25 2015 *)
%o (PARI) in A212846; run limnpq(nmax, 3, 7)
%Y Cf. A212846, A210246, A212847, A213127 to A213138.
%Y Cf. A213140 to A213157.
%K sign
%O 0,2
%A _Stanislav Sykora_, Jun 06 2012
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