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

Terms

a(0) =4a(1) =16a(2) =16a(3) =50a(4) =160a(5) =64a(6) =130a(7) =984a(8) =1600a(9) =256a(10) =296a(11) =4580a(12) =16060a(13) =16000a(14) =1024a(15) =610a(16) =17723a(17) =108625a(18) =263516a(19) =160000a(20) =4096a(21) =1163a(22) =59792a(23) =586343a(24) =2411246a(25) =4357084a(26) =1600000a(27) =16384a(28) =2083a(29) =180821