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