Triangle generated by Pascal's rule, except begin and end the n-th row with n!.

Terms

a(0) =1a(1) =2a(2) =2a(3) =6a(4) =4a(5) =6a(6) =24a(7) =10a(8) =10a(9) =24a(10) =120a(11) =34a(12) =20a(13) =34a(14) =120a(15) =720a(16) =154a(17) =54a(18) =54a(19) =154a(20) =720a(21) =5040a(22) =874a(23) =208a(24) =108a(25) =208a(26) =874a(27) =5040a(28) =40320a(29) =5914