A036052 Order of the permutation created by length sorting on the partitions of n.

1, 1, 1, 2, 2, 6, 10, 60, 144, 348, 8526, 8930, 322560, 210540, 7296, 7001280, 3325069440, 176880000, 44528400, 6398154000, 74839427712000, 222108480000, 52321920, 1864464000, 5066300010240, 1338148188, 91406407293961987500