A213151 Polylogarithm li(-n,-7/9) multiplied by (16^(n+1))/9.

1, -7, -14, 854, 7000, -405832, -7373744, 396878384, 13211201920, -640085041792, -35826474785024, 1495566369860864, 136414677606538240, -4577281372443415552, -691769416923579029504, 16372660554702059116544

Offset: 0

Author

Stanislav Sykora, Jun 06 2012

Keywords

• sign

Comments

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

Examples

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

Links

• Stanislav Sykora, Table of n, a(n) for n = 0..100

Crossrefs

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

Cf. A213152 to A213157.

Programs

Mathematica

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 *)

PARI

in A212846; run limnpq(nmax, 7, 9)

Formula

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