Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = n!*LaguerreL(n, -k*n).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =1a(7) =3a(8) =14a(9) =6a(10) =1a(11) =4a(12) =34a(13) =168a(14) =24a(15) =1a(16) =5a(17) =62a(18) =654a(19) =2840a(20) =120a(21) =1a(22) =6a(23) =98a(24) =1626a(25) =17688a(26) =61870a(27) =720a(28) =1a(29) =7