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A275352 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.

%I A275352 #4 Jul 24 2016 10:05:05
%S A275352 1,2,2,5,14,5,14,81,54,14,41,486,288,216,41,122,2916,1536,1024,864,
%T A275352 122,365,17496,8192,6156,4100,3456,365,1094,104976,43712,38256,31536,
%U A275352 16956,13824,1094,3281,629856,235072,239112,266116,175152,70272,55296,3281
%N A275352 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 A275352 Table starts
%C A275352 ....1......2.......5........14..........41..........122............365
%C A275352 ....2.....14......81.......486........2916........17496.........104976
%C A275352 ....5.....54.....288......1536........8192........43712.........235072
%C A275352 ...14....216....1024......6156.......38256.......239112........1530060
%C A275352 ...41....864....4100.....31536......266116......2292520.......20917472
%C A275352 ..122...3456...16956....175152.....2130176.....26615196......351504904
%C A275352 ..365..13824...70272....982152....17258544....306863916.....5814135340
%C A275352 .1094..55296..291320...5645376...142784608...3682615020...101593710948
%C A275352 .3281.221184.1211092..33154200..1211010160..45094867336..1804283175916
%C A275352 .9842.884736.5070832.197081664.10285035212.548546009720.31575745629020
%H A275352 R. H. Hardin, <a href="/A275352/b275352.txt">Table of n, a(n) for n = 1..180</a>
%F A275352 Empirical for column k:
%F A275352 k=1: a(n) = 4*a(n-1) -3*a(n-2)
%F A275352 k=2: a(n) = 4*a(n-1) for n>3
%F A275352 k=3: [order 17] for n>20
%F A275352 Empirical for row n:
%F A275352 n=1: a(n) = 4*a(n-1) -3*a(n-2)
%F A275352 n=2: a(n) = 6*a(n-1) for n>3
%F A275352 n=3: [order 18] for n>20
%F A275352 n=4: [order 41] for n>43
%e A275352 Some solutions for n=4 k=4
%e A275352 ..0..1..0..2. .0..1..1..2. .0..1..0..0. .0..1..1..1. .0..1..2..1
%e A275352 ..1..0..1..0. .2..2..2..0. .1..2..2..0. .1..2..2..0. .0..2..1..2
%e A275352 ..0..2..0..1. .0..2..0..0. .2..2..2..1. .2..2..0..0. .0..1..2..0
%e A275352 ..2..2..1..0. .0..1..1..1. .0..0..1..1. .0..0..1..1. .0..2..1..0
%Y A275352 Column 1 is A007051(n-1).
%Y A275352 Column 2 is A208428.
%Y A275352 Row 1 is A007051(n-1).
%K A275352 nonn,tabl
%O A275352 1,2
%A A275352 _R. H. Hardin_, Jul 24 2016