a(n) = rad(n(n+1)(n+2)), where rad(m) is the largest squarefree number dividing m (see A007947).

Terms

a(0) =6a(1) =6a(2) =30a(3) =30a(4) =210a(5) =42a(6) =42a(7) =30a(8) =330a(9) =330a(10) =858a(11) =546a(12) =2730a(13) =210a(14) =510a(15) =102a(16) =1938a(17) =570a(18) =3990a(19) =2310a(20) =10626a(21) =1518a(22) =690a(23) =390a(24) =390a(25) =546a(26) =1218a(27) =6090a(28) =26970a(29) =930