A213144 Polylogarithm li(-n,-4/9) multiplied by (13^(n+1))/9.

1, -4, -20, 188, 5260, -6244, -2601620, -32352772, 1819651660, 70205109596, -1222831819220, -150917074955332, -1035896603485940, 350980640716235036, 12868008338514067180, -796662150577236175492

Offset

0,2

Comments

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=4,q=9.

Links

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

Formula

See formula in A212846, setting p=4,q=9.

Example

polylog(-5,-4/9)*13^6/9 = -6244.

Mathematica

p = 4; 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, 4, 9)

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213143.

Cf. A213145 to A213157.

Sequence in context: A054474 A364344 A368455 * A215873 A066917 A280078

Adjacent sequences: A213141 A213142 A213143 * A213145 A213146 A213147

Keyword

sign

Author

Stanislav Sykora, Jun 06 2012

Status

approved