T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 6.

Terms

a(0) =44a(1) =136a(2) =136a(3) =452a(4) =340a(5) =452a(6) =1576a(7) =952a(8) =952a(9) =1576a(10) =5684a(11) =2884a(12) =2300a(13) =2884a(14) =5684a(15) =21016a(16) =9256a(17) =6136a(18) =6136a(19) =9256a(20) =21016a(21) =79172a(22) =31060a(23) =17612a(24) =14644a(25) =17612a(26) =31060a(27) =79172a(28) =302536a(29) =107992