Triangle a(n,k) = binomial(n,k)*binomial(n+1,k+1)*binomial(n+2,k+2) read by rows.

Terms

a(0) =1a(1) =6a(2) =1a(3) =18a(4) =24a(5) =1a(6) =40a(7) =180a(8) =60a(9) =1a(10) =75a(11) =800a(12) =900a(13) =120a(14) =1a(15) =126a(16) =2625a(17) =7000a(18) =3150a(19) =210a(20) =1a(21) =196a(22) =7056a(23) =36750a(24) =39200a(25) =8820a(26) =336a(27) =1a(28) =288a(29) =16464