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

Terms

a(0) =3a(1) =9a(2) =9a(3) =22a(4) =54a(5) =27a(6) =46a(7) =218a(8) =324a(9) =81a(10) =86a(11) =698a(12) =1838a(13) =1944a(14) =243a(15) =148a(16) =1915a(17) =7608a(18) =15540a(19) =11664a(20) =729a(21) =239a(22) =4690a(23) =26314a(24) =77793a(25) =132236a(26) =69984a(27) =2187a(28) =367a(29) =10511