T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 3 1s.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =4a(8) =4a(9) =1a(10) =1a(11) =7a(12) =10a(13) =7a(14) =1a(15) =1a(16) =14a(17) =27a(18) =27a(19) =14a(20) =1a(21) =1a(22) =31a(23) =102a(24) =147a(25) =102a(26) =31a(27) =1a(28) =1a(29) =69