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%I #4 Dec 18 2012 18:28:24
%S 1,2,2,4,8,4,8,38,38,8,16,176,395,176,16,32,816,3778,3778,816,32,64,
%T 3616,32178,65084,32178,3616,64,128,15362,261356,1048014,1048014,
%U 261356,15362,128,256,63484,2096110,16776688,33553757,16776688,2096110,63484,256,512
%N T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and vertical neighbors in a random 0..3 nXk array
%C Table starts
%C ...1......2........4.........8.........16.........32..........64........128
%C ...2......8.......38.......176........816.......3616.......15362......63484
%C ...4.....38......395......3778......32178.....261356.....2096110...16776148
%C ...8....176.....3778.....65084....1048014...16776688...268434892.4294966696
%C ..16....816....32178...1048014...33553757.1073741200.34359737562
%C ..32...3616...261356..16776688.1073741200
%C ..64..15362..2096110.268434892
%C .128..63484.16776148
%C .256.258180
%C .512
%H R. H. Hardin, <a href="/A220751/b220751.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=3 k=4
%e ..0..0..1..0....0..1..0..0....1..1..1..1....1..0..0..0....1..1..0..0
%e ..0..0..1..1....0..1..0..1....0..0..0..0....1..1..0..0....0..0..1..0
%e ..0..1..1..1....1..0..0..0....0..1..0..0....0..0..1..1....0..0..0..1
%Y Column 1 is A000079(n-1)
%Y Column 2 is A220542
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Dec 18 2012
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