T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock having sum 9.

Terms

a(0) =3139a(1) =17701a(2) =17701a(3) =101419a(4) =79259a(5) =101419a(6) =596653a(7) =363533a(8) =363533a(9) =596653a(10) =3703651a(11) =1747075a(12) =1342083a(13) =1747075a(14) =3703651a(15) =23126677a(16) =9368309a(17) =5273797a(18) =5273797a(19) =9368309a(20) =23126677a(21) =145502251a(22) =51019403a(23) =24351579a(24) =17048731a(25) =24351579