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%I #4 Jan 21 2013 14:14:22
%S 1,2,1,4,8,1,8,37,32,1,16,172,323,128,1,32,771,3322,2735,512,1,64,
%T 3392,29939,58710,22683,2048,1,128,14569,254682,1016831,989020,185563,
%U 8192,1,256,61210,2078316,16705642,33166449,16261308,1503659,32768,1,512,252491
%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 antidiagonal neighbors in a random 0..2 nXk array
%C Table starts
%C .1......2........4..........8..........16..........32..........64........128
%C .1......8.......37........172.........771........3392.......14569......61210
%C .1.....32......323.......3322.......29939......254682.....2078316...16737048
%C .1....128.....2735......58710.....1016831....16705642...268216870.4294510063
%C .1....512....22683.....989020....33166449..1072967251.34355764004
%C .1...2048...185563...16261308..1068217665.68708241498
%C .1...8192..1503659..263988148.34258980206
%C .1..32768.12103019.4256750870
%C .1.131072.96951211
%C .1.524288
%C .1
%H R. H. Hardin, <a href="/A221660/b221660.txt">Table of n, a(n) for n = 1..70</a>
%e Some solutions for n=3 k=4
%e ..0..0..1..0....1..0..1..0....0..1..0..1....1..1..0..1....0..0..1..1
%e ..1..0..1..0....0..0..0..1....1..1..1..1....1..1..1..0....1..0..0..0
%e ..0..1..1..1....1..0..0..1....1..1..1..1....0..1..1..0....1..1..1..0
%Y Column 2 is A004171(n-1)
%Y Column 3 is A221059
%Y Column 4 is A221060
%Y Column 5 is A221061
%Y Row 1 is A000079(n-1)
%Y Row 2 is A221063
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 21 2013
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