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T(n,k)=Half the number of (n+2)X(k+2) binary arrays with each 3X3 subblock having sum 3, 4, 5 or 6
10

%I #5 Mar 31 2012 12:36:08

%S 210,1472,1472,10262,18792,10262,71836,237650,237650,71836,502545,

%T 3029032,5422402,3029032,502545,3516295,38586679,125103786,125103786,

%U 38586679,3516295,24602854,491649803,2885253967,5243407780,2885253967

%N T(n,k)=Half the number of (n+2)X(k+2) binary arrays with each 3X3 subblock having sum 3, 4, 5 or 6

%C Table starts

%C ........210...........1472.............10262................71836

%C .......1472..........18792............237650..............3029032

%C ......10262.........237650...........5422402............125103786

%C ......71836........3029032.........125103786...........5243407780

%C .....502545.......38586679........2885253967.........219684364642

%C ....3516295......491649803.......66555378453........9206325629324

%C ...24602854.....6264576384.....1535446610156......385878307185440

%C ..172142801....79823385565....35423389400148....16174152113717987

%C .1204456419..1017110076243...817231843461740...677941845846382141

%C .8427400133.12960036515411.18853921505477183.28416164592526303012

%H R. H. Hardin, <a href="/A187317/b187317.txt">Table of n, a(n) for n = 1..97</a>

%e Some solutions for 5X4 with a(1,1)=0

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 08 2011