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Polylogarithm li(-n,-5/6) multiplied by (11^(n+1))/6.
3

%I #9 Dec 26 2015 02:07:28

%S 1,-5,-5,295,1195,-68705,-604205,33497095,521891995,-27561957905,

%T -685542701405,33989796735895,1270896506674795,-58096477696175105,

%U -3155667333487086605,129898710835267046695

%N Polylogarithm li(-n,-5/6) multiplied by (11^(n+1))/6.

%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=5,q=6.

%H Stanislav Sykora, <a href="/A213145/b213145.txt">Table of n, a(n) for n = 0..100</a>

%F See formula in A212846, setting p=5,q=6.

%e polylog(-5,-5/6)*11^6/6 = -68705.

%t p = 5; q = 6; 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, 5, 6)

%Y Cf. A212846, A210246, A212847, A213127 to A213144.

%Y Cf. A213146 to A213157.

%K sign

%O 0,2

%A _Stanislav Sykora_, Jun 06 2012