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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, diagonally or antidiagonally exactly two different ways, and new values 0..1 introduced in row major order
9

%I #5 Mar 31 2012 12:37:03

%S 102,382,382,1437,1648,1437,5352,7127,7127,5352,20113,31034,36865,

%T 31034,20113,75595,136899,192080,192080,136899,75595,283877,603605,

%U 1013668,1193734,1013668,603605,283877,1066520,2660367,5369493,7620885,7620885

%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, diagonally or antidiagonally exactly two different ways, and new values 0..1 introduced in row major order

%C Table starts

%C .....102......382......1437.......5352.......20113........75595........283877

%C .....382.....1648......7127......31034......136899.......603605.......2660367

%C ....1437.....7127.....36865.....192080.....1013668......5369493......28334280

%C ....5352....31034....192080....1193734.....7620885.....48713811.....309173896

%C ...20113...136899...1013668....7620885....59491439....462259671....3572132537

%C ...75595...603605...5369493...48713811...462259671...4356486501...40833480416

%C ..283877..2660367..28334280..309173896..3572132537..40833480416..463699765823

%C .1066520.11721609.149505326.1968871406.27779761123.385816144851.5337233301716

%H R. H. Hardin, <a href="/A204867/b204867.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=3 k=3

%e ..0..0..0..0..1....0..0..1..0..0....0..1..0..1..1....0..1..0..1..1

%e ..0..0..1..1..0....1..1..1..0..0....0..1..1..1..1....0..1..1..0..0

%e ..1..1..1..1..1....1..0..0..0..1....0..0..0..0..1....0..1..0..0..0

%e ..1..0..0..0..0....1..1..0..0..1....1..1..0..1..1....0..1..1..1..0

%e ..0..0..0..1..1....1..0..1..1..1....0..1..0..1..1....1..1..1..0..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 20 2012