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

Terms

a(0) =1a(1) =15a(2) =1a(3) =120a(4) =30a(5) =1a(6) =540a(7) =465a(8) =45a(9) =1a(10) =1296a(11) =4680a(12) =1035a(13) =60a(14) =1a(15) =1296a(16) =33192a(17) =15795a(18) =1830a(19) =75a(20) =1a(21) =0a(22) =171072a(23) =176688a(24) =37260a(25) =2850a(26) =90a(27) =1a(28) =0a(29) =641520