A q-Catalan triangle for q=2.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =4a(5) =1a(6) =17a(7) =25a(8) =9a(9) =1a(10) =171a(11) =258a(12) =102a(13) =16a(14) =1a(15) =3113a(16) =4635a(17) =1788a(18) =290a(19) =25a(20) =1a(21) =106419a(22) =154048a(23) =54909a(24) =7910a(25) =665a(26) =36a(27) =1a(28) =7035649a(29) =9907933