T(n,k)=Number of nXk 0..2 arrays with row sums nondecreasing and column sums unimodal.

Terms

a(0) =3a(1) =9a(2) =6a(3) =22a(4) =50a(5) =10a(6) =46a(7) =337a(8) =222a(9) =15a(10) =86a(11) =1922a(12) =4120a(13) =867a(14) =21a(15) =148a(16) =9783a(17) =65465a(18) =43941a(19) =3123a(20) =28a(21) =239a(22) =45537a(23) =921010a(24) =1941904a(25) =426527a(26) =10660a(27) =36a(28) =367a(29) =198252