T(n,k)=Number of nXk 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.

Terms

a(0) =2a(1) =4a(2) =4a(3) =7a(4) =12a(5) =8a(6) =11a(7) =28a(8) =36a(9) =16a(10) =16a(11) =56a(12) =89a(13) =108a(14) =32a(15) =22a(16) =101a(17) =187a(18) =281a(19) =324a(20) =64a(21) =29a(22) =169a(23) =373a(24) =574a(25) =900a(26) =972a(27) =128a(28) =37a(29) =267