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

Terms

a(0) =2a(1) =4a(2) =4a(3) =7a(4) =16a(5) =7a(6) =13a(7) =49a(8) =49a(9) =12a(10) =24a(11) =169a(12) =241a(13) =144a(14) =20a(15) =44a(16) =576a(17) =1393a(18) =1117a(19) =400a(20) =33a(21) =81a(22) =1936a(23) =7915a(24) =10621a(25) =4891a(26) =1089a(27) =54a(28) =149a(29) =6561