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

Terms

a(0) =2a(1) =4a(2) =4a(3) =7a(4) =16a(5) =7a(6) =12a(7) =49a(8) =49a(9) =12a(10) =21a(11) =144a(12) =230a(13) =144a(14) =21a(15) =37a(16) =441a(17) =1011a(18) =1011a(19) =441a(20) =37a(21) =65a(22) =1369a(23) =4705a(24) =6478a(25) =4705a(26) =1369a(27) =65a(28) =114a(29) =4225