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%I #5 Oct 18 2013 05:45:05
%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,82,82,2,0,0,8,842,3200,842,8,0,0,
%T 32,9068,88580,88580,9068,32,0,0,120,92538,2467778,6605632,2467778,
%U 92538,120,0,0,430,934880,68210356,501998702,501998702,68210356,934880,430,0,0
%N T(n,k)=Number of nXk 0..4 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero
%C Table starts
%C .0...0......0..........0.............0..............0..............0
%C .0...0......0..........0.............2..............8.............32
%C .0...0......0.........82...........842...........9068..........92538
%C .0...0.....82.......3200.........88580........2467778.......68210356
%C .0...2....842......88580.......6605632......501998702....36506815072
%C .0...8...9068....2467778.....501998702....99394999376.18905431728130
%C .0..32..92538...68210356...36506815072.18905431728130
%C .0.120.934880.1854786186.2615818813066
%H R. H. Hardin, <a href="/A230398/b230398.txt">Table of n, a(n) for n = 1..83</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: a(n) = 4*a(n-1) -4*a(n-3) -9*a(n-4) -6*a(n-5)
%F k=3: [order 31]
%e Some solutions for n=3 k=4
%e ..0..4..3..2....0..1..2..3....0..4..3..2....0..4..4..0....0..1..0..3
%e ..1..2..0..1....4..0..3..4....1..2..3..1....1..2..3..1....4..2..3..4
%e ..2..3..4..0....3..2..1..0....0..1..4..0....0..4..3..2....3..2..1..0
%K nonn,tabl
%O 1,17
%A _R. H. Hardin_, Oct 18 2013
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