A008279, with the first and last of each row removed.

Terms

a(0) =2a(1) =3a(2) =6a(3) =4a(4) =12a(5) =24a(6) =5a(7) =20a(8) =60a(9) =120a(10) =6a(11) =30a(12) =120a(13) =360a(14) =720a(15) =7a(16) =42a(17) =210a(18) =840a(19) =2520a(20) =5040a(21) =8a(22) =56a(23) =336a(24) =1680a(25) =6720a(26) =20160a(27) =40320a(28) =9a(29) =72