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A213147
Polylogarithm li(-n,-5/8) multiplied by (13^(n+1))/8.
3
1, -5, -15, 355, 4665, -88805, -2984415, 37043155, 3157381065, -10240455605, -4883191732815, -46188388946045, 10124441425941465, 280075126224969595, -26112838782751585215, -1459429976295088887245
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=8.
LINKS
FORMULA
See formula in A212846, setting p=5,q=8.
EXAMPLE
polylog(-5,-5/8)*13^6/8 = -88805.
MATHEMATICA
p = 5; q = 8; 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, 8)
CROSSREFS
KEYWORD
sign,changed
AUTHOR
Stanislav Sykora, Jun 06 2012
STATUS
approved