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A213148
Polylogarithm li(-n,-5/9) multiplied by (14^(n+1))/9.
3
1, -5, -20, 370, 6880, -84080, -4764320, 13835920, 5296238080, 57709630720, -8215749893120, -267412364065280, 15638020342497280, 1127961849051627520, -29166891598121553920, -5249813654826672404480
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=9.
LINKS
FORMULA
See formula in A212846, setting p=5,q=9.
EXAMPLE
polylog(-5,-5/9)*14^6/9 = -84080.
MATHEMATICA
p = 5; 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, 5, 9)
CROSSREFS
KEYWORD
sign
AUTHOR
Stanislav Sykora, Jun 06 2012
STATUS
approved