Triangle of column sequences with a certain o.g.f. pattern.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =11a(8) =10a(9) =1a(10) =1a(11) =26a(12) =60a(13) =20a(14) =1a(15) =1a(16) =57a(17) =282a(18) =225a(19) =35a(20) =1a(21) =1a(22) =120a(23) =1149a(24) =1882a(25) =665a(26) =56a(27) =1a(28) =1a(29) =247