T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 111 in rows and columns.

Terms

a(0) =102a(1) =378a(2) =378a(3) =1260a(4) =2030a(5) =1260a(6) =4374a(7) =9484a(8) =9484a(9) =4374a(10) =14946a(11) =46746a(12) =60232a(13) =46746a(14) =14946a(15) =51384a(16) =225654a(17) =408432a(18) =408432a(19) =225654a(20) =51384a(21) =176238a(22) =1098136a(23) =2699464a(24) =3858082a(25) =2699464a(26) =1098136a(27) =176238a(28) =605022a(29) =5327258