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%I #4 Oct 27 2013 18:00:45
%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,68,360,
%T 32,0,0,0,0,2,1500,24050,15624,432,0,0,0,0,8,18468,974548,2756394,
%U 575280,5182,0,0,0,0,32,199358,30543988,296568384,272728160,19355400,58298,0,0,0,0
%N T(n,k)=Number of nXk 0..6 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 7, and upper left element zero
%C Table starts
%C .0.0.0.....0........0.........0.........0...........0.........0.......0...0.0
%C .0.0.0.....0........0.........0.........0...........2.........8......32.120
%C .0.0.0.....0........0........68......1500.......18468....199358.2097950
%C .0.0.0.....2......360.....24050....974548....30543988.887242598
%C .0.0.0....32....15624...2756394.296568384.24842737670
%C .0.0.0...432...575280.272728160
%C .0.0.0..5182.19355400
%C .0.0.0.58298
%H R. H. Hardin, <a href="/A230686/b230686.txt">Table of n, a(n) for n = 1..71</a>
%F Empirical for row n:
%F n=2: a(n) = 4*a(n-1) -4*a(n-3) -8*a(n-4) -12*a(n-5) -17*a(n-6) -10*a(n-7) for n>8
%F Empirical for column k:
%F k=4: [order 9]
%F k=5: [order 11] for n>12
%e All solutions for n=4 k=4
%e ..0..1..0..6....0..1..2..3
%e ..2..3..5..4....0..6..4..5
%e ..4..5..3..2....5..4..6..0
%e ..6..0..1..0....3..2..1..0
%Y Row 2 is A230529(n-1)
%K nonn,tabl
%O 1,25
%A _R. H. Hardin_, Oct 27 2013
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