Number of products of distinct factorials not exceeding n!.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =7a(5) =11a(6) =15a(7) =22a(8) =31a(9) =43a(10) =58a(11) =74a(12) =97a(13) =131a(14) =171a(15) =222a(16) =277a(17) =349a(18) =447a(19) =564a(20) =698a(21) =868a(22) =1074a(23) =1321a(24) =1601a(25) =1967a(26) =2398a(27) =2911a(28) =3513a(29) =4235