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

Terms

a(0) =3a(1) =9a(2) =9a(3) =22a(4) =54a(5) =22a(6) =46a(7) =218a(8) =218a(9) =46a(10) =86a(11) =698a(12) =1232a(13) =698a(14) =86a(15) =148a(16) =1915a(17) =5219a(18) =5219a(19) =1915a(20) =148a(21) =239a(22) =4690a(23) =18502a(24) =27246a(25) =18502a(26) =4690a(27) =239a(28) =367a(29) =10511