A213137 Polylogarithm li(-n,-3/4) multiplied by (7^(n+1))/4.

1, -3, -3, 69, 285, -6123, -56883, 1103109, 19251645, -320851083, -9828858963, 130009042149, 7019067151005, -62927791491243, -6646083378845043, 24719268064533189, 8013257547754474365, 22024516916447897397

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=4.

Examples

			polylog(-5,-3/4)*7^6/4 = -6123.
		

Links

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

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213136.

Cf. A213138 to A213157.

Programs

Mathematica

f[n_] := PolyLog[-n, -3/4] 7^(n + 1)/4; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PARI

in A212846; run limnpq(nmax, 3, 4)

Formula

See formula in A212846, setting p=3,q=4.