T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 horizontally and 1 1 1 vertically.

Terms

a(0) =2a(1) =4a(2) =4a(3) =7a(4) =16a(5) =7a(6) =13a(7) =49a(8) =49a(9) =13a(10) =24a(11) =169a(12) =174a(13) =169a(14) =24a(15) =44a(16) =576a(17) =840a(18) =840a(19) =576a(20) =44a(21) =81a(22) =1936a(23) =3858a(24) =6510a(25) =3858a(26) =1936a(27) =81a(28) =149a(29) =6561