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%I #4 Jul 24 2016 10:05:05
%S 1,2,2,5,14,5,14,81,54,14,41,486,288,216,41,122,2916,1536,1024,864,
%T 122,365,17496,8192,6156,4100,3456,365,1094,104976,43712,38256,31536,
%U 16956,13824,1094,3281,629856,235072,239112,266116,175152,70272,55296,3281
%N T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.
%C Table starts
%C ....1......2.......5........14..........41..........122............365
%C ....2.....14......81.......486........2916........17496.........104976
%C ....5.....54.....288......1536........8192........43712.........235072
%C ...14....216....1024......6156.......38256.......239112........1530060
%C ...41....864....4100.....31536......266116......2292520.......20917472
%C ..122...3456...16956....175152.....2130176.....26615196......351504904
%C ..365..13824...70272....982152....17258544....306863916.....5814135340
%C .1094..55296..291320...5645376...142784608...3682615020...101593710948
%C .3281.221184.1211092..33154200..1211010160..45094867336..1804283175916
%C .9842.884736.5070832.197081664.10285035212.548546009720.31575745629020
%H R. H. Hardin, <a href="/A275352/b275352.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: a(n) = 4*a(n-1) -3*a(n-2)
%F k=2: a(n) = 4*a(n-1) for n>3
%F k=3: [order 17] for n>20
%F Empirical for row n:
%F n=1: a(n) = 4*a(n-1) -3*a(n-2)
%F n=2: a(n) = 6*a(n-1) for n>3
%F n=3: [order 18] for n>20
%F n=4: [order 41] for n>43
%e Some solutions for n=4 k=4
%e ..0..1..0..2. .0..1..1..2. .0..1..0..0. .0..1..1..1. .0..1..2..1
%e ..1..0..1..0. .2..2..2..0. .1..2..2..0. .1..2..2..0. .0..2..1..2
%e ..0..2..0..1. .0..2..0..0. .2..2..2..1. .2..2..0..0. .0..1..2..0
%e ..2..2..1..0. .0..1..1..1. .0..0..1..1. .0..0..1..1. .0..2..1..0
%Y Column 1 is A007051(n-1).
%Y Column 2 is A208428.
%Y Row 1 is A007051(n-1).
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Jul 24 2016
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