Triangle T(n, k) = A002415(n-k+3)*A002415(k+3), read by rows.

Terms

a(0) =36a(1) =120a(2) =120a(3) =300a(4) =400a(5) =300a(6) =630a(7) =1000a(8) =1000a(9) =630a(10) =1176a(11) =2100a(12) =2500a(13) =2100a(14) =1176a(15) =2016a(16) =3920a(17) =5250a(18) =5250a(19) =3920a(20) =2016a(21) =3240a(22) =6720a(23) =9800a(24) =11025a(25) =9800a(26) =6720a(27) =3240a(28) =4950a(29) =10800