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

Terms

a(0) =3a(1) =9a(2) =6a(3) =22a(4) =36a(5) =10a(6) =46a(7) =158a(8) =100a(9) =15a(10) =86a(11) =548a(12) =666a(13) =225a(14) =21a(15) =148a(16) =1600a(17) =3311a(18) =2111a(19) =441a(20) =28a(21) =239a(22) =4102a(23) =13347a(24) =14123a(25) =5548a(26) =784a(27) =36a(28) =367a(29) =9503