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A289953
Number of permutations of [n] having exactly five nontrivial cycles.
2
945, 45045, 1344420, 33093060, 745860115, 16201119935, 348820952480, 7567361882080, 167057902281270, 3775807346835342, 87699348621850680, 2098002630307972920, 51760647309783259386, 1317835530989933266850, 34632875559239201852608, 939407586052413176727424
OFFSET
10,1
COMMENTS
A nontrivial cycle has size > 1.
LINKS
Wikipedia, Permutation
FORMULA
E.g.f.: (-log(1-x)-x)^5/5!*exp(x).
MATHEMATICA
Drop[Range[0, 30]! CoefficientList[Series[(-Log[1 - x] - x)^5 / 5! Exp[x], {x, 0, 30}], x], 10] (* Vincenzo Librandi, Jul 23 2017 *)
CROSSREFS
Column k=5 of A136394.
Sequence in context: A133818 A334973 A334975 * A112491 A263889 A133353
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jul 16 2017
STATUS
approved