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A289958
Number of permutations of [n] having exactly ten nontrivial cycles.
2
654729075, 105411381075, 9729928783575, 682187321190375, 40619713503218850, 2178070341434237250, 108946451099337101250, 5201416870471272701250, 240786076823686096077375, 10929696310323023478019775, 490470855046984824670532875, 21893162839119896036432594875
OFFSET
20,1
COMMENTS
A nontrivial cycle has size > 1.
LINKS
Wikipedia, Permutation
FORMULA
E.g.f.: (log(1-x)+x)^10/10!*exp(x).
MATHEMATICA
Drop[CoefficientList[Series[(Log[1 - x] + x)^10/10!*Exp[x] , {x, 0, 50}], x] * Table[k!, {k, 0, 50}] , 20] (* Indranil Ghosh, Jul 16 2017 *)
PROG
(PARI) x = 'x + O('x^30); Vec(serlaplace((-log(1-x)-x)^10/10!*exp(x))) \\ Michel Marcus, Jul 16 2017
CROSSREFS
Column k=10 of A136394.
Sequence in context: A307759 A271770 A290039 * A263894 A291550 A234071
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jul 16 2017
STATUS
approved