Number of products of factorials not exceeding n!.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =15a(5) =28a(6) =49a(7) =83a(8) =134a(9) =209a(10) =317a(11) =473a(12) =687a(13) =987a(14) =1403a(15) =1972a(16) =2732a(17) =3752a(18) =5096a(19) =6852a(20) =9144a(21) =12113a(22) =15919a(23) =20802a(24) =27012a(25) =34860a(26) =44755a(27) =57136a(28) =72592a(29) =91802