Square array A(n,k), n >= 0, k >= 0, read by antidiagonals: A(n,k) = binomial((k+1)*n+k-1,n)/(n+1).

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =1a(5) =0a(6) =1a(7) =2a(8) =2a(9) =0a(10) =1a(11) =3a(12) =7a(13) =5a(14) =0a(15) =1a(16) =4a(17) =15a(18) =30a(19) =14a(20) =0a(21) =1a(22) =5a(23) =26a(24) =91a(25) =143a(26) =42a(27) =0a(28) =1a(29) =6