T(n,k)=Number of nXk 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing.

Terms

a(0) =4a(1) =16a(2) =16a(3) =50a(4) =160a(5) =50a(6) =130a(7) =984a(8) =984a(9) =130a(10) =296a(11) =4580a(12) =9731a(13) =4580a(14) =296a(15) =610a(16) =17723a(17) =67585a(18) =67585a(19) =17723a(20) =610a(21) =1163a(22) =59792a(23) =376734a(24) =638996a(25) =376734a(26) =59792a(27) =1163a(28) =2083a(29) =180821