T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 3, 4 or 5 king-move neighboring 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) =14a(13) =7a(14) =1a(15) =1a(16) =14a(17) =28a(18) =28a(19) =14a(20) =1a(21) =1a(22) =33a(23) =98a(24) =74a(25) =98a(26) =33a(27) =1a(28) =1a(29) =77