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%I #4 Mar 06 2013 11:40:09
%S 1,0,0,0,4,0,6,32,32,6,20,613,2120,613,20,20,7152,114782,114782,7152,
%T 20,70,117140,5459252,23567385,5459252,117140,70,685,1613820,
%U 346343088,5026137016,5026137016,346343088,1613820,685,2808,24884991,17812721025
%N T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..3 order
%C Table starts
%C ....1.........0.............0...............6...............20...............20
%C ....0.........4............32.............613.............7152...........117140
%C ....0........32..........2120..........114782..........5459252........346343088
%C ....6.......613........114782........23567385.......5026137016....1093286140097
%C ...20......7152.......5459252......5026137016....3663765186919.3492977844745760
%C ...20....117140.....346343088...1093286140097.3492977844745760
%C ...70...1613820...17812721025.240791286159691
%C ..685..24884991.1142470649401
%C .2808.363921808
%C .5370
%H R. H. Hardin, <a href="/A222832/b222832.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=3 k=4
%e ..0..1..2..0....0..0..1..0....0..1..2..3....0..0..1..0....0..1..2..2
%e ..1..0..0..3....1..2..1..1....0..0..1..2....2..1..3..3....2..2..1..3
%e ..1..1..1..2....0..3..1..3....2..3..1..1....0..0..1..0....0..3..0..3
%Y Column 1 is A222604
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Mar 06 2013
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