A213148 Polylogarithm li(-n,-5/9) multiplied by (14^(n+1))/9.

1, -5, -20, 370, 6880, -84080, -4764320, 13835920, 5296238080, 57709630720, -8215749893120, -267412364065280, 15638020342497280, 1127961849051627520, -29166891598121553920, -5249813654826672404480

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=9.

Examples

			polylog(-5,-5/9)*14^6/9 = -84080.
		

Links

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

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213147.

Cf. A213149 to A213157.

Programs

Mathematica

p = 5; q = 9; 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, 9)

Formula

See formula in A212846, setting p=5,q=9.