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

0,2

Comments

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=5,q=9.

Links

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

Formula

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

Example

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

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 *)

Prog

(PARI) in A212846; run limnpq(nmax, 5, 9)

Crossrefs

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

Cf. A213149 to A213157.

Sequence in context: A203206 A032072 A002030 * A202860 A344709 A156148

Adjacent sequences: A213145 A213146 A213147 * A213149 A213150 A213151

Keyword

sign

Author

Stanislav Sykora, Jun 06 2012

Status

approved