T(n,k)=Number of nXk 0..4 arrays of sums of 2X2 subblocks of some (n+1)X(k+1) binary array.

Terms

a(0) =5a(1) =19a(2) =19a(3) =65a(4) =205a(5) =65a(6) =211a(7) =1795a(8) =1795a(9) =211a(10) =665a(11) =14221a(12) =36317a(13) =14221a(14) =665a(15) =2059a(16) =106819a(17) =636331a(18) =636331a(19) =106819a(20) =2059a(21) =6305a(22) =778765a(23) =10365005a(24) =23679901a(25) =10365005a(26) =778765a(27) =6305a(28) =19171a(29) =5581315