%I #4 Jun 14 2013 16:09:06

%S 5,19,19,65,205,65,211,1795,1795,211,665,14221,36317,14221,665,2059,

%T 106819,636331,636331,106819,2059,6305,778765,10365005,23679901,

%U 10365005,778765,6305,19171,5581315,162470155,805351531,805351531,162470155

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

%C Table starts

%C ......5.........19...........65............211.............665............2059

%C .....19........205.........1795..........14221..........106819..........778765

%C .....65.......1795........36317.........636331........10365005.......162470155

%C ....211......14221.......636331.......23679901.......805351531.....26175881341

%C ....665.....106819.....10365005......805351531.....56294206205...3735873535339

%C ...2059.....778765....162470155....26175881341...3735873535339.502757743028605

%C ...6305....5581315...2495037197...831358677451.241600284318365

%C ..19171...39606541..37898120011.26094426008221

%C ..58025..279447619.572284920845

%C .175099.1965098125

%C .527345

%H R. H. Hardin, <a href="/A226658/b226658.txt">Table of n, a(n) for n = 1..71</a>

%e Some solutions for n=3 k=4

%e ..1..1..1..0....0..1..1..1....0..1..1..0....1..0..1..1....1..0..2..3

%e ..3..1..1..2....1..1..2..1....1..2..2..2....1..2..3..2....1..2..2..1

%e ..3..2..2..3....3..1..2..3....2..1..2..3....2..3..2..1....3..3..1..0

%Y Diagonal is A005333(n+1)

%Y Staircase diagonal is A123281(n-3)

%Y Column 1 is A001047(n+1)

%Y Column 2 is A002501(n+1)

%Y Column 3 is A002502(n+1)

%Y Column 4 is A093732(n+1)

%Y Column 5 is A093733(n+1)

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jun 14 2013