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%I #5 Mar 31 2012 12:36:06
%S 0,30,30,76,148,76,234,140,140,234,632,406,444,406,632,1832,1246,1692,
%T 1692,1246,1832,5182,3106,3948,5401,3948,3106,5182,14860,7240,13894,
%U 14437,14437,13894,7240,14860,42346,19040,35270,49303,39372,49303,35270
%N T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants
%C Table starts
%C ......0.....30......76.....234......632......1832.......5182.......14860
%C .....30....148.....140.....406.....1246......3106.......7240.......19040
%C .....76....140.....444....1692.....3948.....13894......35270......122820
%C ....234....406....1692....5401....14437.....49303.....171877......608194
%C ....632...1246....3948...14437....39372....158437.....554824.....2203303
%C ...1832...3106...13894...49303...158437....703983....2920816....12599670
%C ...5182...7240...35270..171877...554824...2920816...14050512....85310077
%C ..14860..19040..122820..608194..2203303..12599670...85310077...523902288
%C ..42346..49004..328174.1974583..7843906..53255787..380380974..2795274149
%C .121016.124974.1091770.6828851.30466049.237167117.2084921316.16608468926
%H R. H. Hardin, <a href="/A186902/b186902.txt">Table of n, a(n) for n = 1..312</a>
%e Some solutions for 4X3
%e ..0..1..1....1..1..0....0..1..1....1..1..0....0..0..0....0..0..1....0..1..0
%e ..1..1..0....0..1..1....1..1..0....0..1..1....0..1..1....1..1..1....1..1..1
%e ..0..0..0....0..0..0....1..1..0....0..0..1....1..1..0....1..1..0....1..0..1
%e ..1..0..0....0..1..1....0..1..1....1..0..1....0..1..1....0..1..1....1..0..1
%Y Column 1 is A185479
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Feb 28 2011
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