A213154 Polylogarithm li(-n,-9/10) multiplied by (19^(n+1))/10.

1, -9, -9, 1611, 6471, -1148589, -9872289, 1732196331, 25810293591, -4461906502269, -102948316013169, 17472999720383451, 581452715402943111, -96525920129033025549, -4413961128482041139649

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=9,q=10.

Examples

			polylog(-5,-9/10)*19^6/10 = -1148589.
		

Links

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

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213153.

Cf. A213155 to A213157.

Programs

Mathematica

p = 9; q = 10; 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, 9, 10)

Formula

See formula in A212846, setting p=9,q=10.