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

Terms

a(0) =2a(1) =3a(2) =4a(3) =4a(4) =8a(5) =8a(6) =5a(7) =13a(8) =21a(9) =16a(10) =6a(11) =19a(12) =37a(13) =55a(14) =32a(15) =7a(16) =26a(17) =58a(18) =105a(19) =144a(20) =64a(21) =8a(22) =34a(23) =85a(24) =168a(25) =298a(26) =377a(27) =128a(28) =9a(29) =43