A222500 - OEIS

%I #4 Feb 23 2013 07:03:42

%S 1,0,0,0,0,0,3,4,4,0,4,5,6,13,0,8,14,35,95,40,0,10,122,81,346,525,162,

%T 0,55,196,1758,3915,6109,7420,888,0,72,1861,3964,43771,52190,101272,

%U 40428,3617,0,294,4042,114039,524135,1466810,2793098,1809959,636953,18136,0

%N T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order

%C Table starts

%C .1......0........0.........3..........4..........8.........10........55

%C .0......0........4.........5.........14........122........196......1861

%C .0......4........6........35.........81.......1758.......3964....114039

%C .0.....13.......95.......346.......3915......43771.....524135...8524766

%C .0.....40......525......6109......52190....1466810...15602065.820533050

%C .0....162.....7420....101272....2793098...71467150.2414051256

%C .0....888....40428...1809959...48860520.4383248774

%C .0...3617...636953..30640551.3227092882

%C .0..18136..3473192.555968545

%C .0..81560.57944170

%C .0.407644

%C .0

%H R. H. Hardin, <a href="/A222500/b222500.txt">Table of n, a(n) for n = 1..82</a>

%e Some solutions for n=4 k=4

%e ..0..1..0..0....0..0..1..1....0..1..0..2....0..1..0..2....0..1..2..1

%e ..0..0..0..0....2..0..1..1....2..0..0..0....3..0..0..0....1..2..2..2

%e ..0..0..0..0....1..1..1..1....0..0..0..0....0..0..0..0....2..2..2..2

%e ..2..0..0..0....1..1..1..1....0..0..0..0....0..0..0..0....2..2..2..2

%Y Column 2 is A222270

%Y Row 1 is A222269

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_ Feb 23 2013