Eigentriangle for the Catalan triangle (c(x), xc(x)), A033184.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =1a(6) =6a(7) =3a(8) =1a(9) =1a(10) =22a(11) =11a(12) =4a(13) =1a(14) =1a(15) =92a(16) =46a(17) =17a(18) =5a(19) =1a(20) =1a(21) =426a(22) =213a(23) =79a(24) =24a(25) =6a(26) =1a(27) =1a(28) =2150a(29) =1075