Number of sorted multiplicative partitions of n!.

Terms

a(0) =1a(1) =1a(2) =3a(3) =3a(4) =10a(5) =10a(6) =30a(7) =75a(8) =220a(9) =220a(10) =588a(11) =588a(12) =1568a(13) =3696a(14) =11616a(15) =11616a(16) =30492a(17) =30492a(18) =84700a(19) =173250a(20) =441000a(21) =441000a(22) =1262520a(23) =2777544a(24) =6957720a(25) =16731660a(26) =43506760a(27) =43506760a(28) =98658000a(29) =98658000