T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock sum greater than 4.

Terms

a(0) =31a(1) =165a(2) =165a(3) =792a(4) =1983a(5) =792a(6) =3971a(7) =20514a(8) =20514a(9) =3971a(10) =19593a(11) =225739a(12) =421879a(13) =225739a(14) =19593a(15) =97312a(16) =2429833a(17) =9573698a(18) =9573698a(19) =2429833a(20) =97312a(21) =482071a(22) =26384550a(23) =209361859a(24) =460055427a(25) =209361859a(26) =26384550a(27) =482071a(28) =2390621