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T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically
12

%I #5 Mar 31 2012 12:37:19

%S 2,4,4,6,16,6,10,36,36,10,16,100,72,100,16,26,256,180,240,256,26,42,

%T 676,432,780,704,676,42,68,1764,1044,2320,2816,2080,1764,68,110,4624,

%U 2520,7140,10144,9672,6216,4624,110,178,12100,6084,21600,38208,41444,35952

%N T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically

%C Table starts

%C ..2....4.....6.....10.....16......26.......42........68........110.........178

%C ..4...16....36....100....256.....676.....1764......4624......12100.......31684

%C ..6...36....72....180....432....1044.....2520......6084......14688.......35460

%C .10..100...240....780...2320....7140....21600.....65980.....200400......610740

%C .16..256...704...2816..10144...38208...140032....524480....1928000.....7206080

%C .26..676..2080...9672..41444..181896...794768...3479268...15223104....66632488

%C .42.1764..6216..35952.185136.1006572..5346600..28935984..154692048...835671396

%C .68.4624.18496.130152.813824.5427216.35345040.235865752.1547212432.10330674512

%H R. H. Hardin, <a href="/A207845/b207845.txt">Table of n, a(n) for n = 1..763</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A006355(n+2)

%Y Column 2 is A206981

%Y Row 1 is A006355(n+2)

%Y Row 2 is A206981

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 21 2012