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A213137
Polylogarithm li(-n,-3/4) multiplied by (7^(n+1))/4.
3
1, -3, -3, 69, 285, -6123, -56883, 1103109, 19251645, -320851083, -9828858963, 130009042149, 7019067151005, -62927791491243, -6646083378845043, 24719268064533189, 8013257547754474365, 22024516916447897397
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=4.
LINKS
FORMULA
See formula in A212846, setting p=3,q=4.
EXAMPLE
polylog(-5,-3/4)*7^6/4 = -6123.
MATHEMATICA
f[n_] := PolyLog[-n, -3/4] 7^(n + 1)/4; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)
PROG
(PARI) in A212846; run limnpq(nmax, 3, 4)
CROSSREFS
KEYWORD
sign
AUTHOR
Stanislav Sykora, Jun 06 2012
STATUS
approved