A213139 Polylogarithm li(-n,-3/7) multiplied by (10^(n+1))/7.

1, -3, -12, 78, 1824, 240, -513120, -5857680, 196293120, 6811964160, -57818956800, -8095402329600, -83402198630400, 10192670228889600, 371764953132748800, -11291351664942336000, -1131884186768228352000

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=3,q=7.

Examples

			polylog(-5,-3/7)*10^6/7 = 240
		

Links

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

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213138.

Cf. A213140 to A213157.

Programs

Mathematica

f[n_] := PolyLog[-n, -3/7] 10^(n + 1)/7; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PARI

in A212846; run limnpq(nmax, 3, 7)

Formula

See formula in A212846, setting p=3,q=7.