T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 010 in rows and columns.

Terms

a(0) =126a(1) =441a(2) =441a(3) =1785a(4) =2401a(5) =1785a(6) =7225a(7) =14161a(8) =14161a(9) =7225a(10) =27880a(11) =83521a(12) =127449a(13) =83521a(14) =27880a(15) =107584a(16) =485809a(17) =1147041a(18) =1147041a(19) =485809a(20) =107584a(21) =422136a(22) =2825761a(23) =9967797a(24) =15752961a(25) =9967797a(26) =2825761a(27) =422136a(28) =1656369a(29) =16475481