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%I #9 Dec 26 2015 02:10:32
%S 1,-1,-99,-9601,-891099,-74657401,-4598985699,83304101999,
%T 105616323905301,26458809087970199,4788219040686298701,
%U 620396956870561833599,15434896384804497301701,-25743663357271554846442201
%N Polylogarithm li(-n,-1/100) multiplied by (101^(n+1))/100.
%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=1,q=100.
%H Stanislav Sykora, <a href="/A213155/b213155.txt">Table of n, a(n) for n = 0..100</a>
%F See formula in A212846, setting p=1,q=100.
%e polylog(-5,-1/100)*101^6/100 = -74657401.
%t f[n_] := PolyLog[-n, -1/100] (101^(n + 1))/100; f[0] = 1; Array[f, 14, 0] (* _Robert G. Wilson v_, Dec 25 2015 *)
%o (PARI) in A212846; run limnpq(nmax, 1, 100)
%Y Cf. A212846, A210246, A212847, A213127 to A213154.
%Y Cf. A213156, A213157.
%K sign
%O 0,3
%A _Stanislav Sykora_, Jun 06 2012