A213150 Polylogarithm li(-n,-7/8) multiplied by (15^(n+1))/8.

1, -7, -7, 777, 3129, -342615, -2965095, 318612105, 4810567545, -504410403735, -11895756971175, 1209591806193225, 41613411780711225, -4074816146460117975, -195459943548067129575, 18284823353530418351625

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=8.

Examples

			polylog(-5,-7/8)*15^6/8 = -342615.
		

Links

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

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213149.

Cf. A213151 to A213157.

Programs

Mathematica

p = 7; q = 8; 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, 8)

Formula

See formula in A212846, setting p=7,q=8.