Array read by antidiagonals: A(n,k) = the hypergraph Catalan number C_k(n), n >= 0, k >= 1.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =1a(8) =6a(9) =5a(10) =1a(11) =1a(12) =20a(13) =57a(14) =14a(15) =1a(16) =1a(17) =70a(18) =860a(19) =678a(20) =42a(21) =1a(22) =1a(23) =252a(24) =15225a(25) =57200a(26) =9270a(27) =132a(28) =1a(29) =1