T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =6a(5) =1a(6) =1a(7) =16a(8) =16a(9) =1a(10) =1a(11) =31a(12) =60a(13) =31a(14) =1a(15) =1a(16) =96a(17) =177a(18) =177a(19) =96a(20) =1a(21) =1a(22) =301a(23) =869a(24) =910a(25) =869a(26) =301a(27) =1a(28) =1a(29) =801