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%I #4 Feb 28 2013 17:03:33
%S 1,0,0,0,3,0,3,4,8,0,4,18,32,50,0,8,56,220,420,216,0,10,237,664,3189,
%T 2050,1120,0,50,784,7248,29770,47696,32296,5440,0,66,3218,25642,
%U 288829,419562,723244,159672,27576,0,216,11152,298371,3056797,12765040,20259516
%N T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order
%C Table starts
%C .1........0...........0..............3................4...................8
%C .0........3...........4.............18...............56.................237
%C .0........8..........32............220..............664................7248
%C .0.......50.........420...........3189............29770..............288829
%C .0......216........2050..........47696...........419562............12765040
%C .0.....1120.......32296.........723244.........20259516...........589802909
%C .0.....5440......159672.......11082863........301760538.........27752564898
%C .0....27576.....2593768......171281610......14776550335.......1319414370191
%C .0...138560....13108760.....2665243912.....223789472088......63167849881088
%C .0...704880...215573760....41702927217...11086737070564....3040537134742112
%C .0..3590400..1103125848...655500979620..169432535832409..146998128651407720
%C .0.18382208.18291819408.10342682216196.8466158066084383.7133080659964442596
%H R. H. Hardin, <a href="/A222690/b222690.txt">Table of n, a(n) for n = 1..159</a>
%e Some solutions for n=3 k=4
%e ..0..0..1..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..0..0..0....0..0..1..2....0..0..0..1....1..0..1..1....0..0..0..0
%e ..1..0..0..0....0..2..2..2....0..2..0..2....1..1..1..1....0..1..1..2
%Y Row 1 is A222395
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Feb 28 2013
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