T(n,k)=Number of nXk 0..2 arrays with row sums equal and column sums unequal to adjacent columns.

Terms

a(0) =3a(1) =6a(2) =3a(3) =12a(4) =10a(5) =3a(6) =24a(7) =80a(8) =36a(9) =3a(10) =48a(11) =556a(12) =624a(13) =82a(14) =3a(15) =96a(16) =3348a(17) =9540a(18) =3760a(19) =256a(20) =3a(21) =192a(22) =20596a(23) =170868a(24) =173860a(25) =25002a(26) =676a(27) =3a(28) =384a(29) =134412