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%I #5 Mar 31 2012 12:37:10
%S 50,170,170,558,798,558,1906,3692,3692,1906,6386,18572,25340,18572,
%T 6386,21940,93582,201498,201498,93582,21940,74714,491162,1622095,
%U 2501248,1622095,491162,74714,258496,2591052,13475116,31537842,31537842,13475116
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having nonzero determinant and having the same number of clockwise edge increases as its horizontal and vertical neighbors
%C Table starts
%C .....50......170.......558........1906..........6386...........21940
%C ....170......798......3692.......18572.........93582..........491162
%C ....558.....3692.....25340......201498.......1622095........13475116
%C ...1906....18572....201498.....2501248......31537842.......404927788
%C ...6386....93582...1622095....31537842.....619611200.....12251680342
%C ..21940...491162..13475116...404927788...12251680342....372768662926
%C ..74714..2591052.112183711..5199505646..242348711498..11329725297298
%C .258496.13911368.939358762.66968651436.4795824388008.344897509718070
%H R. H. Hardin, <a href="/A206128/b206128.txt">Table of n, a(n) for n = 1..220</a>
%e Some solutions for n=4 k=3
%e ..1..1..2..1....1..1..2..1....1..1..0..1....0..1..2..2....0..1..0..1
%e ..1..2..2..0....1..2..2..2....2..1..1..1....2..2..1..0....1..2..1..2
%e ..1..1..2..2....2..2..1..2....2..2..1..2....1..0..2..1....2..0..2..1
%e ..2..1..1..2....2..1..1..1....0..1..1..1....0..1..0..2....2..1..0..2
%e ..2..2..1..1....1..1..2..0....1..1..0..1....2..2..1..0....0..2..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 04 2012
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