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A289952
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Number of permutations of [n] having exactly four nontrivial cycles.
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2
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105, 3465, 74025, 1346345, 23079595, 391180075, 6719395683, 118538975555, 2163255564470, 40995539853814, 808279043604630, 16591622809290774, 354584560193653306, 7886213669622441146, 182405117548079061482, 4383906242299647034026, 109380730176142312738279
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OFFSET
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8,1
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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)^4/4!*exp(x).
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MATHEMATICA
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Drop[Range[0, 30]! CoefficientList[Series[(Log[1 - x] + x)^4 / 4! Exp[x], {x, 0, 30}], x], 8] (* 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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