T(n,k)=Number of nXk 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.

Terms

a(0) =3a(1) =6a(2) =9a(3) =10a(4) =31a(5) =27a(6) =15a(7) =76a(8) =157a(9) =81a(10) =21a(11) =155a(12) =476a(13) =793a(14) =243a(15) =28a(16) =281a(17) =1144a(18) =2980a(19) =4004a(20) =729a(21) =36a(22) =469a(23) =2403a(24) =7927a(25) =18672a(26) =20216a(27) =2187a(28) =45a(29) =736