Triangle read by rows: the Y-transformation of the Catalan triangle A033184.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =6a(5) =1a(6) =14a(7) =40a(8) =15a(9) =1a(10) =84a(11) =300a(12) =175a(13) =28a(14) =1a(15) =594a(16) =2475a(17) =1925a(18) =504a(19) =45a(20) =1a(21) =4719a(22) =22022a(23) =21021a(24) =7644a(25) =1155a(26) =66a(27) =1a(28) =40898a(29) =208208