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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =0a(5) =1a(6) =1a(7) =2a(8) =-1a(9) =1a(10) =1a(11) =-3a(12) =7a(13) =-2a(14) =1a(15) =1a(16) =11a(17) =-33a(18) =16a(19) =-3a(20) =1a(21) =1a(22) =-31a(23) =191a(24) =-119a(25) =29a(26) =-4a(27) =1a(28) =1a(29) =101