Triangle read by rows: T(n,k) = ((3/2)^k*2^n + (2/3)^k*3^n)*A008292(n+1,k+1).

Terms

a(0) =2a(1) =5a(2) =5a(3) =13a(4) =48a(5) =13a(6) =35a(7) =330a(8) =330a(9) =35a(10) =97a(11) =2028a(12) =4752a(13) =2028a(14) =97a(15) =275a(16) =11970a(17) =54360a(18) =54360a(19) =11970a(20) =275a(21) =793a(22) =69840a(23) =557388a(24) =1043712a(25) =557388a(26) =69840a(27) =793a(28) =2315a(29) =407550