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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

20,1

COMMENTS

A nontrivial cycle has size > 1.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 20..450

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

Adjacent sequences:  A289955 A289956 A289957 * A289959 A289960 A289961

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 16 2017

STATUS

approved

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Last modified April 3 14:25 EDT 2020. Contains 333197 sequences. (Running on oeis4.)