T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock summing to 8.

Terms

a(0) =85a(1) =325a(2) =325a(3) =1333a(4) =1001a(5) =1333a(6) =5725a(7) =3445a(8) =3445a(9) =5725a(10) =25405a(11) =12785a(12) =10213a(13) =12785a(14) =25405a(15) =115525a(16) =50125a(17) =33325a(18) =33325a(19) =50125a(20) =115525a(21) =535333a(22) =205001a(23) =116653a(24) =97145a(25) =116653a(26) =205001a(27) =535333a(28) =2517805a(29) =867205