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Polylogarithm li(-n,-5/9) multiplied by (14^(n+1))/9.
3

%I #9 Dec 26 2015 02:07:39

%S 1,-5,-20,370,6880,-84080,-4764320,13835920,5296238080,57709630720,

%T -8215749893120,-267412364065280,15638020342497280,

%U 1127961849051627520,-29166891598121553920,-5249813654826672404480

%N Polylogarithm li(-n,-5/9) multiplied by (14^(n+1))/9.

%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=5,q=9.

%H Stanislav Sykora, <a href="/A213148/b213148.txt">Table of n, a(n) for n = 0..100</a>

%F See formula in A212846, setting p=5,q=9.

%e polylog(-5,-5/9)*14^6/9 = -84080.

%t p = 5; q = 9; 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, 9)

%Y Cf. A212846, A210246, A212847, A213127 to A213147.

%Y Cf. A213149 to A213157.

%K sign

%O 0,2

%A _Stanislav Sykora_, Jun 06 2012