%I #5 Mar 31 2012 12:36:10
%S 48,44,44,304,104,304,784,704,704,784,3188,2532,7616,2532,3188,10296,
%T 14308,50802,50802,14308,10296,38020,64024,435194,544222,435194,64024,
%U 38020,131184,328116,3394156,7443374,7443374,3394156,328116,131184
%N T(n,k)=Number of (n+2)X(k+2) binary arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum
%C Table starts
%C ......48......44.......304........784.......3188......10296.......38020
%C ......44.....104.......704.......2532......14308......64024......328116
%C .....304.....704......7616......50802.....435194....3394156....27734942
%C .....784....2532.....50802.....544222....7443374...94215422..1239704056
%C ....3188...14308....435194....7443374..167909728.3490809390.75359054474
%C ...10296...64024...3394156...94215422.3490809390
%C ...38020..328116..27734942.1239704056
%C ..131184.1509288.222519352
%C ..470896.7610052
%C .1657548
%H R. H. Hardin, <a href="/A187940/b187940.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for 5X4
%e ..0..1..0..1....1..0..1..0....1..0..1..1....1..0..1..0....1..0..1..0
%e ..0..1..0..1....0..0..0..0....0..1..0..0....1..1..1..1....0..0..0..0
%e ..0..1..0..1....0..1..0..1....1..0..1..1....0..1..0..1....1..0..1..0
%e ..0..1..1..1....1..1..1..1....0..1..1..1....1..1..1..1....0..0..0..0
%e ..1..1..0..1....1..0..1..0....1..1..1..0....1..0..1..0....0..1..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 16 2011