A036053 Product of order of cycles of the permutation created by length sorting on the partitions of n.

1, 1, 1, 2, 4, 6, 10, 60, 288, 1044, 8526, 8930, 322560, 210540, 7296, 7001280, 6650138880, 353760000, 44528400, 6398154000, 74839427712000, 11993857920000, 52321920, 3728928000, 81060800163840, 1338148188