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A289951 Number of permutations of [n] having exactly three nontrivial cycles. 2
15, 315, 4480, 56672, 703430, 8941790, 118685336, 1658897240, 24494859389, 382301179169, 6302039460704, 109568927676192, 2005758201911884, 38588518087076860, 778794884783432176, 16458419973887378416, 363578176719852275467, 8381709371219530604071 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,1

COMMENTS

A nontrivial cycle has size > 1.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..450

Wikipedia, Permutation

FORMULA

E.g.f.: (-log(1-x)-x)^3/3!*exp(x).

MATHEMATICA

Drop [Range[0, 30]! CoefficientList[Series[(-Log[1 - x] - x)^3 / 3! Exp[x], {x, 0, 30}], x], 6] (* Vincenzo Librandi, Jul 22 2017 *)

CROSSREFS

Column k=3 of A136394.

Sequence in context: A158533 A284070 A133766 * A112489 A062757 A088913

Adjacent sequences:  A289948 A289949 A289950 * A289952 A289953 A289954

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 16 2017

STATUS

approved

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Last modified March 7 13:24 EST 2021. Contains 341886 sequences. (Running on oeis4.)