Number of factorizations of n! into distinct factors.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =5a(5) =16a(6) =57a(7) =253a(8) =1060a(9) =5285a(10) =28762a(11) =191263a(12) =1052276a(13) =8028450a(14) =56576192a(15) =424900240a(16) =2584010916a(17) =24952953943a(18) =178322999025