Square array, read by antidiagonal: T(n,k) = n*T(n,k-1)+(-1)^k*T(n,floor(k/2)).

Terms

a(0) =1a(1) =2a(2) =1a(3) =1a(4) =3a(5) =1a(6) =3a(7) =5a(8) =4a(9) =1a(10) =1a(11) =13a(12) =11a(13) =5a(14) =1a(15) =2a(16) =23a(17) =37a(18) =19a(19) =6a(20) =1a(21) =1a(22) =51a(23) =107a(24) =81a(25) =29a(26) =7a(27) =1a(28) =4a(29) =97