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Polylogarithm li(-n,-7/9) multiplied by (16^(n+1))/9.
3

%I #9 Dec 26 2015 02:08:08

%S 1,-7,-14,854,7000,-405832,-7373744,396878384,13211201920,

%T -640085041792,-35826474785024,1495566369860864,136414677606538240,

%U -4577281372443415552,-691769416923579029504,16372660554702059116544

%N Polylogarithm li(-n,-7/9) multiplied by (16^(n+1))/9.

%C See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=7,q=9.

%H Stanislav Sykora, <a href="/A213151/b213151.txt">Table of n, a(n) for n = 0..100</a>

%F See formula in A212846, setting p=7,q=9.

%e polylog(-5,-7/9)*16^6/9 = -405832.

%t p = 7; 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, 7, 9)

%Y Cf. A212846, A210246, A212847, A213127 to A213150.

%Y Cf. A213152 to A213157.

%K sign

%O 0,2

%A _Stanislav Sykora_, Jun 06 2012