Triangle read by rows, T(n, k) = RisingFactorial(n - k, k) * FallingFactorial(n, k).

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =2a(5) =0a(6) =1a(7) =6a(8) =12a(9) =0a(10) =1a(11) =12a(12) =72a(13) =144a(14) =0a(15) =1a(16) =20a(17) =240a(18) =1440a(19) =2880a(20) =0a(21) =1a(22) =30a(23) =600a(24) =7200a(25) =43200a(26) =86400a(27) =0a(28) =1a(29) =42