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A289957 Number of permutations of [n] having exactly nine nontrivial cycles. 2
34459425, 4583103525, 353553700500, 20941727706900, 1063956789420525, 49122916648430625, 2133284602385096160, 89095866141017736000, 3632887356673057858375, 146162134100332940264675, 5846991791902793693661500, 233881907399101905866222300 (list; graph; refs; listen; history; text; internal format)
OFFSET

18,1

COMMENTS

A nontrivial cycle has size > 1.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 18..450

Wikipedia, Permutation

FORMULA

E.g.f.: (-log(1-x)-x)^9/9!*exp(x).

MATHEMATICA

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 *)

PROG

(PARI) x = 'x + O('x^30); Vec(serlaplace((-log(1-x)-x)^9/9!*exp(x))) \\ Michel Marcus, Jul 16 2017

CROSSREFS

Column k=9 of A136394.

Sequence in context: A332388 A271769 A290038 * A263893 A250573 A210154

Adjacent sequences:  A289954 A289955 A289956 * A289958 A289959 A289960

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 16 2017

STATUS

approved

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Last modified April 4 07:32 EDT 2020. Contains 333213 sequences. (Running on oeis4.)