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A213154
Polylogarithm li(-n,-9/10) multiplied by (19^(n+1))/10.
3
1, -9, -9, 1611, 6471, -1148589, -9872289, 1732196331, 25810293591, -4461906502269, -102948316013169, 17472999720383451, 581452715402943111, -96525920129033025549, -4413961128482041139649
OFFSET
0,2
COMMENTS
See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=9,q=10.
LINKS
FORMULA
See formula in A212846, setting p=9,q=10.
EXAMPLE
polylog(-5,-9/10)*19^6/10 = -1148589.
MATHEMATICA
p = 9; q = 10; 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, 9, 10)
CROSSREFS
KEYWORD
sign
AUTHOR
Stanislav Sykora, Jun 06 2012
STATUS
approved