T(n,k)=Number of nXk 0..3 arrays with row sums and column sums unimodal.

Terms

a(0) =4a(1) =16a(2) =16a(3) =50a(4) =256a(5) =50a(6) =130a(7) =3060a(8) =3060a(9) =130a(10) =296a(11) =29922a(12) =141112a(13) =29922a(14) =296a(15) =610a(16) =252912a(17) =5286827a(18) =5286827a(19) =252912a(20) =610a(21) =1163a(22) =1912914a(23) =169786856a(24) =762031090a(25) =169786856a(26) =1912914a(27) =1163a(28) =2083a(29) =13254601