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%I #4 Mar 12 2013 04:11:42
%S 1,0,0,0,6,0,6,16,16,6,16,58,45,58,16,16,136,472,472,136,16,40,352,
%T 820,1341,820,352,40,280,768,11680,6472,6472,11680,768,280,768,1752,
%U 18827,15374,13319,15374,18827,1752,768,1440,3680,297604,60497,219912,219912
%N T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order
%C Table starts
%C .....1.....0.......0......6......16......16......40.....280......768....1440
%C .....0.....6......16.....58.....136.....352.....768....1752.....3680....7904
%C .....0....16......45....472.....820...11680...18827..297604...476311.7843888
%C .....6....58.....472...1341....6472...15374...60497..142610...499278.1229381
%C ....16...136.....820...6472...13319..219912..332851.8050444.11698029
%C ....16...352...11680..15374..219912..308384.2955464.4938602
%C ....40...768...18827..60497..332851.2955464
%C ...280..1752..297604.142610.8050444
%C ...768..3680..476311.499278
%C ..1440..7904.7843888
%C ..3808.16256
%C .16352
%H R. H. Hardin, <a href="/A223033/b223033.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for n=3 k=4
%e ..0..1..1..0....0..1..2..0....0..1..2..0....0..1..0..1....0..1..0..2
%e ..2..2..1..2....1..1..1..1....2..2..2..2....2..2..2..2....2..1..1..1
%e ..1..0..1..0....2..0..1..2....1..0..2..0....2..0..2..0....1..0..2..1
%Y Column 1 is A222884
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Mar 12 2013
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