T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its king-move neighbors.

Terms

a(0) =2a(1) =4a(2) =4a(3) =8a(4) =16a(5) =8a(6) =16a(7) =57a(8) =57a(9) =16a(10) =32a(11) =213a(12) =324a(13) =213a(14) =32a(15) =64a(16) =796a(17) =2048a(18) =2048a(19) =796a(20) =64a(21) =128a(22) =2964a(23) =12771a(24) =23773a(25) =12771a(26) =2964a(27) =128a(28) =256a(29) =11049