a(n) = floor((LCM of next n numbers)/n!).

Terms

a(0) =1a(1) =3a(2) =10a(3) =105a(4) =500a(5) =2261a(6) =24667a(7) =42028a(8) =1230782a(9) =20311562a(10) =4439826a(11) =359052299a(12) =528351796a(13) =6320864852a(14) =54316890301a(15) =272889671456a(17) =369404431595