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A213143
Polylogarithm li(-n,-4/7) multiplied by (11^(n+1))/7.
3
1, -4, -12, 188, 2580, -28324, -1123212, 4593788, 791677140, 4687508636, -789960600012, -16633684281412, 997739785828500, 46516458962719196, -1370408093916825612, -140930266128553137412
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=7.
LINKS
FORMULA
See formula in A212846, setting p=4,q=7.
EXAMPLE
polylog(-5,-4/7)*11^6/7 = -28324.
MATHEMATICA
f[n_] := PolyLog[-n, -4/7] 11^(n + 1)/7; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)
PROG
(PARI) in A212846; run limnpq(nmax, 4, 7)
CROSSREFS
KEYWORD
sign
AUTHOR
Stanislav Sykora, Jun 06 2012
STATUS
approved