Table T(n,k), 0<=k, 0<=n, read by antidiagonals, defined by T(n,k) = (k*n)! / (n!)^k.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =2a(8) =1a(9) =1a(10) =1a(11) =6a(12) =6a(13) =1a(14) =1a(15) =1a(16) =24a(17) =90a(18) =20a(19) =1a(20) =1a(21) =1a(22) =120a(23) =2520a(24) =1680a(25) =70a(26) =1a(27) =1a(28) =1a(29) =720