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%I #4 Oct 21 2013 20:51:08
%S 0,0,0,0,0,0,0,0,0,0,0,2,16,2,0,0,8,170,170,8,0,0,32,1716,4648,1716,
%T 32,0,0,118,18588,129874,129874,18588,118,0,0,440,215314,4038314,
%U 10308020,4038314,215314,440,0,0,1664,2510424,129829460,918775180,918775180
%N T(n,k)=Number of nXk 0..7 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 8, and upper left element zero
%C Table starts
%C .0...0.......0.........0.........0.........0...........0..........0........0
%C .0...0.......0.........2.........8........32.........118........440.....1664
%C .0...0......16.......170......1716.....18588......215314....2510424.29109876
%C .0...2.....170......4648....129874...4038314...129829460.4177480490
%C .0...8....1716....129874..10308020.918775180.84808478358
%C .0..32...18588...4038314.918775180
%C .0.118..215314.129829460
%C .0.440.2510424
%H R. H. Hardin, <a href="/A230513/b230513.txt">Table of n, a(n) for n = 1..60</a>
%F Empirical for column k:
%F k=2: a(n) = 5*a(n-1) -4*a(n-2) -5*a(n-3) +9*a(n-4) +12*a(n-5)
%F k=3: [order 32]
%e Some solutions for n=3 k=4
%e ..0..7..6..5....0..7..0..1....0..7..6..5....0..1..2..1....0..1..0..1
%e ..1..4..5..4....1..6..5..2....1..2..3..4....7..6..3..2....7..2..3..2
%e ..2..3..2..1....2..3..4..3....0..7..2..1....4..5..4..1....6..5..4..1
%K nonn,tabl
%O 1,12
%A _R. H. Hardin_, Oct 21 2013
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