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Polylogarithm li(-n,-1/1000) multiplied by (1001^(n+1))/1000.
3

%I #8 Dec 21 2015 04:17:40

%S 1,-1,-999,-996001,-989010999,-974065974001,-943301698056999,

%T -881188585190880001,-757277396614707246999,-512519922101780607498001,

%U -34386117044101144161012999

%N Polylogarithm li(-n,-1/1000) multiplied by (1001^(n+1))/1000.

%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=1,q=1000.

%H Stanislav Sykora, <a href="/A213156/b213156.txt">Table of n, a(n) for n = 0..100</a>

%F See formula in A212846, setting p=1, q=1000.

%e polylog(-5,-1/1000)*1001^6/1000 = -974065974001.

%o (PARI) in A212846; run limnpq(nmax, 1, 1000)

%Y Cf. A212846, A210246, A212847, A213127-A213155, A213157.

%K sign

%O 0,3

%A _Stanislav Sykora_, Jun 06 2012