Triangle of numbers composed of certain generalized Catalan numbers.

Terms

a(0) =1a(1) =1a(2) =1a(3) =0a(4) =1a(5) =1a(6) =0a(7) =2a(8) =1a(9) =1a(10) =0a(11) =5a(12) =4a(13) =1a(14) =1a(15) =0a(16) =14a(17) =28a(18) =6a(19) =1a(20) =1a(21) =0a(22) =42a(23) =256a(24) =81a(25) =8a(26) =1a(27) =1a(28) =0a(29) =132