a(n) is the smallest k such that k!'s prime(n)-smooth part is less than its prime(n+1)-rough part.

Terms

a(0) =3a(1) =21a(2) =47a(3) =111a(4) =186a(5) =293a(6) =437a(7) =619a(8) =830a(9) =1070a(10) =1358a(11) =1662a(12) =2019a(13) =2428a(14) =2903a(15) =3373a(16) =3908a(17) =4493a(18) =5113a(19) =5791a(20) =6506a(21) =7325a(22) =8150a(23) =9043a(24) =9942a(25) =10929a(26) =11983a(27) =13089a(28) =14303a(29) =15591