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A213135 Polylogarithm li(-n,-2/7) multiplied by (9^(n+1))/7. 3
1, -2, -10, 6, 870, 7878, -90810, -3599514, -20802330, 1466193798, 42164160390, -227736774234, -44798359213530, -896477167975482, 32992662466363590, 2308652347666959846, 16747450938362727270, -3885313022633595475962 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=2,q=7.

LINKS

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

FORMULA

See formula in A212846, setting p=2,q=7.

EXAMPLE

polylog(-5,-2/7)*9^6/7 = 7878.

MATHEMATICA

f[n_] := PolyLog[-n, -2/7] 9^(n + 1)/7; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PROG

(PARI) in A212846; run limnpq(nmax, 2, 7)

CROSSREFS

Cf. A212846, A210246, A212847, A213127 to A213134.

Cf. A213136 to A213157.

Sequence in context: A142954 A082225 A211365 * A037187 A267500 A166542

Adjacent sequences:  A213132 A213133 A213134 * A213136 A213137 A213138

KEYWORD

sign

AUTHOR

Stanislav Sykora, Jun 06 2012

STATUS

approved

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Last modified May 23 04:09 EDT 2017. Contains 286909 sequences.