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%I #5 Mar 31 2012 12:36:02
%S 174,726,726,3030,4362,3030,12630,25854,25854,12630,52662,150234,
%T 215644,150234,52662,219606,886926,1752120,1752120,886926,219606,
%U 915702,5221098,14532816,19941490,14532816,5221098,915702,3818262,30631134,120202866
%N T(n,k)=Number of (n+2)X(k+2) binary arrays with each 3X3 subblock nonsingular
%C Table starts
%C ......174........726.........3030..........12630............52662
%C ......726.......4362........25854.........150234...........886926
%C .....3030......25854.......215644........1752120.........14532816
%C ....12630.....150234......1752120.......19941490........230731304
%C ....52662.....886926.....14532816......230731304.......3749400138
%C ...219606....5221098....120202866.....2662736508......60674682444
%C ...915702...30631134....989438596....30654215226.....978050637454
%C ..3818262..180225834...8169865470...353516027506...15816011545490
%C .15921462.1059790686..67464328866..4075790123584..255607860729284
%C .66389334.6228272058.556545963176.46978794076110.4128520011920866
%H R. H. Hardin, <a href="/A185534/b185534.txt">Table of n, a(n) for n = 1..144</a>
%e Some solutions for 5X4
%e ..1..1..0..0....0..1..0..0....1..0..0..1....0..1..1..1....0..0..1..1
%e ..0..0..1..0....1..1..0..1....1..1..0..1....1..0..1..1....1..1..0..1
%e ..1..0..0..1....0..0..1..0....0..1..1..1....1..1..0..1....0..1..0..0
%e ..0..1..0..0....1..0..0..1....1..1..1..0....0..0..1..0....1..1..1..1
%e ..0..1..1..1....0..1..0..1....0..0..1..0....1..0..1..1....0..0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 30 2011