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%I #4 Mar 13 2013 04:38:37
%S 1,0,0,0,4,0,6,44,32,0,20,508,1682,613,0,20,6918,95648,101573,7152,0,
%T 70,93770,3760845,17704612,4505726,117140,0,685,1302140,225200914,
%U 3067927359,3345698159,286019636,1613820,0,2808,18203855,8981996365
%N T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal 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............6............20...........20.............70
%C .0........4..........44..........508..........6918........93770........1302140
%C .0.......32........1682........95648.......3760845....225200914.....8981996365
%C .0......613......101573.....17704612....3067927359.535214170579.94165746376280
%C .0.....7152.....4505726...3345698159.1653232100317
%C .0...117140...286019636.642902149269
%C .0..1613820.13029003006
%C .0.24884991
%H R. H. Hardin, <a href="/A223052/b223052.txt">Table of n, a(n) for n = 1..49</a>
%e Some solutions for n=3 k=4
%e ..0..1..2..0....0..1..2..0....0..1..0..2....0..1..2..0....0..1..1..1
%e ..2..1..2..1....1..1..2..1....3..0..0..1....0..1..1..0....0..2..1..2
%e ..1..1..1..1....2..1..3..2....0..0..2..3....3..2..0..1....0..1..1..2
%Y Column 2 is A222829
%Y Row 1 is A222604
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Mar 13 2013
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