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A213144
Polylogarithm li(-n,-4/9) multiplied by (13^(n+1))/9.
3
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
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
KEYWORD
sign
AUTHOR
Stanislav Sykora, Jun 06 2012
STATUS
approved