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%I #4 Oct 16 2013 06:42:13
%S 0,0,0,0,6,0,0,34,34,0,0,218,534,218,0,0,1386,9162,9162,1386,0,0,8810,
%T 157200,438284,157200,8810,0,0,56010,2696012,20948996,20948996,
%U 2696012,56010,0,0,356074,46237080,1000237228,2788320240,1000237228,46237080
%N T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero
%C Table starts
%C .0......0.........0.............0................0....................0
%C .0......6........34...........218.............1386.................8810
%C .0.....34.......534..........9162...........157200..............2696012
%C .0....218......9162........438284.........20948996...........1000237228
%C .0...1386....157200......20948996.......2788320240.........370609462746
%C .0...8810...2696012....1000237228.....370609462746......137077642883940
%C .0..56010..46237080...47762574418...49266883333526....50711260887195062
%C .0.356074.792976550.2280709396620.6549249195140490.18760268537988792192
%H R. H. Hardin, <a href="/A230337/b230337.txt">Table of n, a(n) for n = 1..161</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: a(n) = 5*a(n-1) +8*a(n-2) +4*a(n-3)
%F k=3: [order 9] for n>10
%F k=4: [order 24] for n>26
%F k=5: [order 64] for n>66
%e Some solutions for n=3 k=4
%e ..0..2..1..0....0..1..1..2....0..0..1..2....0..1..2..2....0..1..0..1
%e ..1..2..0..1....2..2..0..1....1..0..0..2....2..1..0..1....2..0..2..0
%e ..1..0..0..2....1..2..0..2....2..2..2..1....0..0..0..0....2..1..2..1
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Oct 16 2013
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