Triangle read by rows: A(n,k)=A(n - 1, k - 1) + A(n - 1, k) + (n + 1)*(n + 2)*A(n - 2, k - 1).

Terms

a(0) =2a(1) =120a(2) =120a(3) =2a(4) =1436a(5) =2a(6) =2a(7) =5038a(8) =5038a(9) =2a(10) =2a(11) =5124a(12) =70388a(13) =5124a(14) =2a(15) =2a(16) =5238a(17) =357640a(18) =357640a(19) =5238a(20) =2a(21) =2a(22) =5384a(23) =731806a(24) =5783216a(25) =731806a(26) =5384a(27) =2a(28) =2a(29) =5566