Augmentation of the triangle A004736. See Comments.

Terms

a(0) =1a(1) =2a(2) =1a(3) =6a(4) =6a(5) =3a(6) =24a(7) =36a(8) =30a(9) =15a(10) =120a(11) =240a(12) =270a(13) =210a(14) =105a(15) =720a(16) =1800a(17) =2520a(18) =2520a(19) =1890a(20) =945a(21) =5040a(22) =15120a(23) =25200a(24) =30240a(25) =28350a(26) =20790a(27) =10395a(28) =40320a(29) =141120