T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 1 horizontally and 0 1 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) =20a(11) =144a(12) =230a(13) =144a(14) =20a(15) =33a(16) =400a(17) =1020a(18) =1020a(19) =400a(20) =33a(21) =54a(22) =1089a(23) =4120a(24) =6752a(25) =4120a(26) =1089a(27) =54a(28) =88a(29) =2916