Square array A(n,k), n >= 0, k >= 1, read by antidiagonals: A(n,k) = n! * [x^n] (1 + k*x)^(n/k).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =1a(8) =0a(9) =6a(10) =1a(11) =1a(12) =-2a(13) =-3a(14) =24a(15) =1a(16) =1a(17) =-4a(18) =0a(19) =0a(20) =120a(21) =1a(22) =1a(23) =-6a(24) =15a(25) =40a(26) =45a(27) =720a(28) =1a(29) =1