T(n,k)=Number of nXk 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.

Terms

a(0) =4a(1) =10a(2) =16a(3) =20a(4) =85a(5) =64a(6) =35a(7) =295a(8) =707a(9) =256a(10) =56a(11) =805a(12) =3471a(13) =5864a(14) =1024a(15) =84a(16) =1876a(17) =12311a(18) =41006a(19) =48620a(20) =4096a(21) =120a(22) =3906a(23) =36028a(24) =176893a(25) =485714a(26) =403104a(27) =16384a(28) =165a(29) =7470