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A213146
Polylogarithm li(-n,-5/7) multiplied by (12^(n+1))/7.
3
1, -5, -10, 330, 2760, -82680, -1593360, 40988880, 1552095360, -31261956480, -2267818248960, 29423279911680, 4603691259048960, -17797429029473280, -12287671292043970560, -95184807512707307520
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=7.
LINKS
FORMULA
See formula in A212846, setting p=5,q=7.
EXAMPLE
polylog(-5,-5/7)*12^6/7 = -82680.
MATHEMATICA
p = 5; q = 7; 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, 7)
CROSSREFS
KEYWORD
sign
AUTHOR
Stanislav Sykora, Jun 06 2012
STATUS
approved