A273440 Number of endofunctions on [n] with exactly nine cycles.

1, 135, 11715, 848430, 56457258, 3616660047, 228859354295, 14526558274800, 933767559522083, 61157779792168059, 4097522595384976251, 281552808746124677190, 19873435970688901729621, 1442409484607029199323392, 107706418622406296313956423

Offset: 9

Author

Alois P. Heinz, May 22 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 9..386

Crossrefs

Column k=9 of A060281.

Formula

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