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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 at least two different ways, and new values 0..1 introduced in row major order
9

%I #5 Mar 31 2012 12:37:04

%S 166,1001,1001,6086,10416,6086,36522,107004,107004,36522,219755,

%T 1085013,1858301,1085013,219755,1323027,11064389,31837899,31837899,

%U 11064389,1323027,7962992,112737183,547910909,916967622,547910909,112737183

%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 at least two different ways, and new values 0..1 introduced in row major order

%C Table starts

%C ......166........1001..........6086...........36522.............219755

%C .....1001.......10416........107004.........1085013...........11064389

%C .....6086......107004.......1858301........31837899..........547910909

%C ....36522.....1085013......31837899.......916967622........26548318278

%C ...219755....11064389.....547910909.....26548318278......1294422106052

%C ..1323027...112737183....9424549410....768548149208.....63103000253312

%C ..7962992..1148525798..162106684241..22245382735903...3075660728764228

%C .47928592.11702245817.2788440262671.643910842041150.149917008692340855

%H R. H. Hardin, <a href="/A204971/b204971.txt">Table of n, a(n) for n = 1..112</a>

%e Some solutions for n=3 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 21 2012