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A289957
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Number of permutations of [n] having exactly nine nontrivial cycles.
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2
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34459425, 4583103525, 353553700500, 20941727706900, 1063956789420525, 49122916648430625, 2133284602385096160, 89095866141017736000, 3632887356673057858375, 146162134100332940264675, 5846991791902793693661500, 233881907399101905866222300
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OFFSET
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18,1
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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)^9/9!*exp(x).
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MATHEMATICA
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Drop[CoefficientList[Series[(-Log[1 - x] - x)^9/9!*Exp[x] , {x, 0, 50}], x] * Table[k !, {k, 0, 50}] , 18] (* Indranil Ghosh, Jul 16 2017 *)
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PROG
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(PARI) x = 'x + O('x^30); Vec(serlaplace((-log(1-x)-x)^9/9!*exp(x))) \\ Michel Marcus, Jul 16 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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