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%I #5 Mar 31 2012 12:36:02
%S 0,580,580,2366,11354,2366,22236,172026,172026,22236,118616,3017724,
%T 4473352,3017724,118616,891506,50646550,173403770,173403770,50646550,
%U 891506,5489048,873299900,5539941616,15211806726,5539941616,873299900
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant
%C Table starts
%C ........0.........580.........2366.........22236........118616.......891506
%C ......580.......11354.......172026.......3017724......50646550....873299900
%C .....2366......172026......4473352.....173403770....5539941616.195867482580
%C ....22236.....3017724....173403770...15211806726.1112996493332
%C ...118616....50646550...5539941616.1112996493332
%C ...891506...873299900.195867482580
%C ..5489048.14968118872
%C .38326452
%H R. H. Hardin, <a href="/A185609/b185609.txt">Table of n, a(n) for n = 1..39</a>
%e Some solutions for 4X3
%e ..1..0..0....1..0..1....2..0..0....0..2..1....1..0..3....3..0..0....0..0..0
%e ..0..0..2....0..0..0....3..0..3....0..0..0....0..0..1....1..0..3....1..0..2
%e ..2..0..3....0..0..0....0..0..0....0..0..0....1..0..1....1..0..2....0..0..0
%e ..2..0..2....0..3..2....1..0..3....1..0..3....0..0..0....2..0..3....1..2..1
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 31 2011