A213138 Polylogarithm li(-n,-3/5) multiplied by (8^(n+1))/5.

1, -3, -6, 78, 696, -6888, -164976, 891888, 64108416, 60001152, -35965476096, -360892100352, 26498019265536, 633590774356992, -23310702740207616, -1122674884723771392, 20851651616596525056

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=5.

Examples

			polylog(-5,-3/5)*8^6/5 = -6888.
		

Links

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

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213137.

Cf. A213139 to A213157.

Programs

Mathematica

f[n_] := PolyLog[-n, -3/5] 8^(n + 1)/5; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PARI

in A212846; run limnpq(nmax, 3, 5)

Formula

See formula in A212846, setting p=3,q=5.