T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 000 in rows and columns.

Terms

a(0) =126a(1) =510a(2) =510a(3) =1968a(4) =3150a(5) =1968a(6) =7722a(7) =18160a(8) =18160a(9) =7722a(10) =30114a(11) =107510a(12) =157952a(13) =107510a(14) =30114a(15) =117708a(16) =629790a(17) =1402544a(18) =1402544a(19) =629790a(20) =117708a(21) =459690a(22) =3704980a(23) =12360432a(24) =18741086a(25) =12360432a(26) =3704980a(27) =459690a(28) =1795842a(29) =21758550