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A213153
Polylogarithm li(-n,-8/9) multiplied by (17^(n+1))/9.
3
1, -8, -8, 1144, 4600, -650888, -5610248, 782393464, 11721120760, -1604217628808, -37345505230088, 4993399538404984, 168423884058659320, -21890458098275195528, -1020495088251266584328
OFFSET
0,2
COMMENTS
See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=8,q=9.
LINKS
FORMULA
See formula in A212846, setting p=8,q=9.
EXAMPLE
polylog(-5,-8/9)*17^6/9 = -650888.
MATHEMATICA
p = 8; 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, 8, 9)
CROSSREFS
KEYWORD
sign
AUTHOR
Stanislav Sykora, Jun 06 2012
STATUS
approved