A213146 Polylogarithm li(-n,-5/7) multiplied by (12^(n+1))/7.

1, -5, -10, 330, 2760, -82680, -1593360, 40988880, 1552095360, -31261956480, -2267818248960, 29423279911680, 4603691259048960, -17797429029473280, -12287671292043970560, -95184807512707307520

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=7.

Links

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

Formula

See formula in A212846, setting p=5,q=7.

Example

polylog(-5,-5/7)*12^6/7 = -82680.

Mathematica

p = 5; q = 7; 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, 7)

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213145.

Cf. A213147 to A213157.

Sequence in context: A297908 A298502 A201026 * A309558 A346104 A087463

Adjacent sequences: A213143 A213144 A213145 * A213147 A213148 A213149

Keyword

sign

Author

Stanislav Sykora, Jun 06 2012

Status

approved