A213147 Polylogarithm li(-n,-5/8) multiplied by (13^(n+1))/8.

1, -5, -15, 355, 4665, -88805, -2984415, 37043155, 3157381065, -10240455605, -4883191732815, -46188388946045, 10124441425941465, 280075126224969595, -26112838782751585215, -1459429976295088887245

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=5,q=8.

Examples

			polylog(-5,-5/8)*13^6/8 = -88805.
		

Links

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

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213146.

Cf. A213148 to A213157.

Programs

Mathematica

p = 5; 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, 5, 8)

Formula

See formula in A212846, setting p=5,q=8.