Triangle built from partial sums of Catalan numbers A000108 multiplied by powers.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =4a(8) =3a(9) =1a(10) =1a(11) =9a(12) =11a(13) =4a(14) =1a(15) =1a(16) =23a(17) =51a(18) =22a(19) =5a(20) =1a(21) =1a(22) =65a(23) =275a(24) =157a(25) =37a(26) =6a(27) =1a(28) =1a(29) =197