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A213139
Polylogarithm li(-n,-3/7) multiplied by (10^(n+1))/7.
3
1, -3, -12, 78, 1824, 240, -513120, -5857680, 196293120, 6811964160, -57818956800, -8095402329600, -83402198630400, 10192670228889600, 371764953132748800, -11291351664942336000, -1131884186768228352000
OFFSET
0,2
COMMENTS
See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=3,q=7.
LINKS
FORMULA
See formula in A212846, setting p=3,q=7.
EXAMPLE
polylog(-5,-3/7)*10^6/7 = 240
MATHEMATICA
f[n_] := PolyLog[-n, -3/7] 10^(n + 1)/7; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)
PROG
(PARI) in A212846; run limnpq(nmax, 3, 7)
CROSSREFS
KEYWORD
sign
AUTHOR
Stanislav Sykora, Jun 06 2012
STATUS
approved