A convolution triangle of numbers generalizing Pascal's triangle A007318.

Terms

a(0) =1a(1) =10a(2) =1a(3) =50a(4) =20a(5) =1a(6) =125a(7) =200a(8) =30a(9) =1a(10) =125a(11) =1250a(12) =450a(13) =40a(14) =1a(15) =0a(16) =5250a(17) =4375a(18) =800a(19) =50a(20) =1a(21) =0a(22) =15000a(23) =30375a(24) =10500a(25) =1250a(26) =60a(27) =1a(28) =0a(29) =28125