A273437 Number of endofunctions on [n] with exactly six cycles.

1, 63, 2842, 116172, 4654713, 189142107, 7923937307, 345104368752, 15688849238062, 745831503236820, 37094603885430728, 1929672890969261256, 104918114960824458448, 5956513043619244790970, 352719666690509340493680, 21759830035878816514854144

Offset: 6

Author

Alois P. Heinz, May 22 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 6..386

Crossrefs

Column k=6 of A060281.

Formula

E.g.f.: 1/6! * log(1+LambertW(-x))^6.