A273436 Number of endofunctions on [n] with exactly five cycles.

1, 45, 1540, 49840, 1632099, 55545735, 1987186025, 75078221130, 2999597292406, 126693681294180, 5650573288138415, 265702055516788800, 13149171975158028874, 683615652343279677360, 37269087381803600233878, 2126880663709734887508320, 126841125623724152774643951

Offset

5,2

Links

Alois P. Heinz, Table of n, a(n) for n = 5..386

Formula

E.g.f.: -1/5! * log(1+LambertW(-x))^5.

Crossrefs

Column k=5 of A060281.

Sequence in context: A053112 A240686 A014940 * A049397 A215859 A143170

Adjacent sequences: A273433 A273434 A273435 * A273437 A273438 A273439

Keyword

nonn

Author

Alois P. Heinz, May 22 2016

Status

approved