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A222769 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order.

%I A222769 #6 Jul 23 2025 03:02:39
%S A222769 1,0,0,0,3,0,3,4,4,0,4,11,13,20,0,4,18,66,96,48,0,5,73,158,465,301,
%T A222769 175,0,20,152,934,2608,3431,2242,512,0,27,470,2446,15077,19766,25772,
%U A222769 7575,1719,0,48,1022,14567,89811,256546,333978,196185,55958,5400,0,63,3361,39972
%N A222769 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order.
%C A222769 Table starts
%C A222769 .1......0........0..........3............4...............4.................5
%C A222769 .0......3........4.........11...........18..............73...............152
%C A222769 .0......4.......13.........66..........158.............934..............2446
%C A222769 .0.....20.......96........465.........2608...........15077.............89811
%C A222769 .0.....48......301.......3431........19766..........256546...........1570588
%C A222769 .0....175.....2242......25772.......333978.........4479721..........62017670
%C A222769 .0....512.....7575.....196185......2645385........79612578........1139211468
%C A222769 .0...1719....55958....1508369.....45830457......1432512703.......46316300783
%C A222769 .0...5400...196442...11685222....370518626.....26011740182......872037778022
%C A222769 .0..17776..1448568...91068653...6504289924....475591230143....36016907441620
%C A222769 .0..57420..5188656..713197411..53224723750...8742929996332...687733392122744
%C A222769 .0.188656.38338122.5607868082.942396671062.161434491485598.28680675666813436
%H A222769 R. H. Hardin, <a href="/A222769/b222769.txt">Table of n, a(n) for n = 1..239</a>
%e A222769 Some solutions for n=3 k=4
%e A222769 ..0..1..1..1....0..0..1..1....0..0..0..0....0..0..0..1....0..0..0..0
%e A222769 ..1..1..1..0....0..0..1..0....1..1..0..0....0..0..0..1....0..0..0..0
%e A222769 ..1..1..1..0....0..0..0..0....0..0..0..0....0..1..1..1....1..1..1..1
%Y A222769 Row 1 is A222283
%K A222769 nonn,tabl
%O A222769 1,5
%A A222769 _R. H. Hardin_ Mar 05 2013