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%I #6 Apr 30 2022 20:44:29
%S 0,3,3,3,19,3,9,115,115,9,15,739,1889,739,15,33,4679,33119,33119,4679,
%T 33,63,29569,575757,1622763,575757,29569,63,129,187211,10015447,
%U 78416265,78416265,10015447,187211,129,255,1185283,174306687,3788842363
%N T(n,k) = Number of n X k 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).
%C Table starts
%C ...0.......3..........3.............9................15...................33
%C ...3......19........115...........739..............4679................29569
%C ...3.....115.......1889.........33119............575757.............10015447
%C ...9.....739......33119.......1622763..........78416265...........3788842363
%C ..15....4679.....575757......78416265.......10521395805........1411363459757
%C ..33...29569...10015447....3788842363.....1411363459757......525542853634783
%C ..63..187211..174306687..183213209145...189537122520529...195955071996200947
%C .129.1185283.3033162257.8859387292449.25452175156264451.73057913024557581941
%H R. H. Hardin, <a href="/A229934/b229934.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +2*a(n-2);
%F k=2: [order 13];
%F k=3: [order 49] for n>50.
%e Some solutions for n=3, k=4
%e ..0..2..2..0....2..2..0..2....2..0..0..0....2..0..2..1....0..2..1..1
%e ..2..0..0..2....0..0..0..1....2..2..2..0....2..1..1..1....2..1..0..2
%e ..0..1..1..1....2..0..1..1....0..2..2..0....0..2..2..0....1..0..2..0
%Y Column 1 is A062510(n-1).
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Oct 04 2013
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