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%I #4 Mar 05 2013 18:03:34
%S 1,0,0,0,3,0,3,4,8,0,4,18,34,55,0,8,62,275,582,294,0,10,302,888,5896,
%T 3800,1883,0,55,1246,14292,77978,137804,92642,11920,0,72,6094,62072,
%U 1026076,1615706,3315998,589134,78255,0,294,26914,1144030,16057219
%N T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order
%C Table starts
%C .1.........0............0...............3.................4..................8
%C .0.........3............4..............18................62................302
%C .0.........8...........34.............275...............888..............14292
%C .0........55..........582............5896.............77978............1026076
%C .0.......294.........3800..........137804...........1615706...........88097352
%C .0......1883........92642.........3315998.........163288090.........8113737592
%C .0.....11920.......589134........80934417........3723507945.......762956665320
%C .0.....78255.....15697114......1992934141......374218329866.....72357582862167
%C .0....517050....101205850.....49390328481.....8769044681276...6893999224041770
%C .0...3451712...2768968458...1230248849616...883217207685508.659082936314507965
%C .0..23156964..17982090240..30772191192457.20907867146102343
%C .0.156076271.499074464184.772421301648384
%H R. H. Hardin, <a href="/A222794/b222794.txt">Table of n, a(n) for n = 1..125</a>
%e Some solutions for n=3 k=4
%e ..0..1..0..2....0..0..1..1....0..0..1..0....0..0..0..0....0..0..0..0
%e ..1..2..2..2....1..0..1..1....0..0..2..2....0..0..0..1....0..0..0..1
%e ..2..2..2..2....1..1..1..1....2..2..2..2....2..2..0..0....2..0..3..3
%Y Row 1 is A222269
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Mar 05 2013
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