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%I #5 Mar 31 2012 12:37:05
%S 223,1606,1606,11553,21537,11553,82991,288483,288483,82991,596414,
%T 3849194,7191926,3849194,596414,4285989,51416847,178174596,178174596,
%U 51416847,4285989,30799890,686818023,4422079769,8174802163,4422079769
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order
%C Table starts
%C .......223.........1606..........11553.............82991...............596414
%C ......1606........21537.........288483...........3849194.............51416847
%C .....11553.......288483........7191926.........178174596...........4422079769
%C .....82991......3849194......178174596........8174802163.........376019663515
%C ....596414.....51416847.....4422079769......376019663515.......32079295935853
%C ...4285989....686818023...109752541538....17296548519787.....2736913657929574
%C ..30799890...9173723833..2723625483808...795473851332758...233446295978015247
%C .221334561.122534242638.67591734118641.36585763638080307.19913133812861822666
%H R. H. Hardin, <a href="/A205273/b205273.txt">Table of n, a(n) for n = 1..112</a>
%e Some solutions for n=3 k=3
%e ..0..1..1..1..1....0..1..1..0..1....0..0..0..0..1....0..0..1..1..1
%e ..1..0..1..1..1....1..0..1..0..0....0..1..1..0..0....0..1..1..0..0
%e ..1..0..0..1..0....1..0..1..1..1....1..1..0..0..0....0..0..1..0..0
%e ..0..0..1..0..0....0..0..1..0..0....0..0..0..0..0....1..1..1..0..1
%e ..0..0..1..1..1....0..0..1..0..1....1..1..0..0..1....1..0..1..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 24 2012
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