Number of sorted multiplicative partitions of n! of length n.

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =2a(5) =2a(6) =5a(7) =12a(8) =31a(9) =31a(10) =78a(11) =78a(12) =191a(13) =418a(14) =1220a(15) =1220a(16) =3015a(17) =3015a(18) =7889a(19) =15413a(20) =37012a(21) =37012a(22) =100559a(23) =211426a(24) =501520a(25) =1157544a(26) =2880550a(27) =2880550a(28) =6307387a(29) =6307387