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%I #5 Mar 31 2012 12:37:03
%S 1412,17835,17835,225474,352950,225474,2824381,7146451,7146451,
%T 2824381,35428257,141179471,236324802,141179471,35428257,445314552,
%U 2839352529,7481378218,7481378218,2839352529,445314552,5591644019,57762265633
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..2 introduced in row major order
%C Table starts
%C ........1412.........17835........225474........2824381.......35428257
%C .......17835........352950.......7146451......141179471.....2839352529
%C ......225474.......7146451.....236324802.....7481378218...247265390184
%C .....2824381.....141179471....7481378218...359921488544.18627221533275
%C ....35428257....2839352529..247265390184.18627221533275
%C ...445314552...57762265633.8360347208200
%C ..5591644019.1169004717315
%C .70200382115
%H R. H. Hardin, <a href="/A204745/b204745.txt">Table of n, a(n) for n = 1..40</a>
%e Some solutions for n=3 k=3
%e ..0..1..1..1..0....0..0..0..0..0....0..0..1..2..1....0..1..0..1..0
%e ..1..2..1..2..0....0..0..1..0..1....1..1..1..0..2....0..0..1..1..2
%e ..2..2..2..0..0....2..1..1..2..2....2..0..0..0..0....1..0..0..0..0
%e ..2..1..1..2..0....2..0..1..2..0....2..1..2..2..0....2..2..2..1..0
%e ..0..1..1..1..2....1..2..1..0..1....2..1..1..2..1....1..0..1..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 18 2012
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