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%I #5 Mar 31 2012 12:37:10
%S 81,452,452,1970,7313,1970,8128,73133,73133,8128,33386,656053,1782191,
%T 656053,33386,139390,5862927,35625711,35625711,5862927,139390,588254,
%U 53835891,600064928,1827047303,600064928,53835891,588254,2496440
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing
%C Table starts
%C ......81........452..........1970.............8128...............33386
%C .....452.......7313.........73133...........656053.............5862927
%C ....1970......73133.......1782191.........35625711...........600064928
%C ....8128.....656053......35625711.......1827047303.........74479700228
%C ...33386....5862927.....600064928......74479700228.......7626209039519
%C ..139390...53835891....9098547899....2537225006229.....656654900321262
%C ..588254..499752207..131428029860...77008927829374...46954627739500046
%C .2496440.4654712482.1883474084204.2231343350258712.2857994610813268269
%H R. H. Hardin, <a href="/A206223/b206223.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for n=4 k=3
%e ..0..1..2..0....0..0..2..1....2..2..0..1....1..2..2..0....2..0..0..1
%e ..2..1..0..0....2..0..2..1....1..0..0..1....0..0..0..0....2..0..0..1
%e ..2..0..0..1....1..0..1..1....1..0..0..0....2..2..2..0....2..0..0..0
%e ..0..0..0..0....2..0..1..2....1..2..1..0....0..0..0..0....0..0..0..1
%e ..1..1..2..1....1..0..0..1....0..2..2..2....1..0..2..0....0..0..0..2
%Y Column 1 is A205208
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 04 2012
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