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%I #4 Oct 23 2013 16:05:18
%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,60,32,0,0,0,0,8,868,
%T 2582,430,0,0,0,0,32,9088,93450,91084,5130,0,0,0,0,120,94014,2541242,
%U 8554108,3026090,58474,0,0,0,0,430,952214,70699812,615786708,765537650,98987768
%N T(n,k)=Number of nXk 0..4 arrays x(i,j) with each element horizontally or antidiagonally 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....................0
%C .0.0.0......0..........0.............2................8...................32
%C .0.0.0......2.........60...........868.............9088................94014
%C .0.0.0.....32.......2582.........93450..........2541242.............70699812
%C .0.0.0....430......91084.......8554108........615786708..........45684933988
%C .0.0.0...5130....3026090.....765537650.....145982711348.......28811520101092
%C .0.0.0..58474...98987768...67978636208...34266592666538....17991771309348534
%C .0.0.0.651686.3223042422.6025699711838.8031211777081368.11220386097390449420
%H R. H. Hardin, <a href="/A230571/b230571.txt">Table of n, a(n) for n = 1..125</a>
%F Empirical for column k:
%F k=4: a(n) = 17*a(n-1) -66*a(n-2) -12*a(n-3) +13*a(n-4) +476*a(n-5) -44*a(n-6) +a(n-7)
%F k=5: [order 9] for n>10
%F k=6: [order 68] for n>69
%F Empirical for row n:
%F n=2: a(n) = 4*a(n-1) -4*a(n-3) -9*a(n-4) -6*a(n-5) for n>6
%F n=3: [order 48] for n>51
%e Some solutions for n=5 k=4
%e ..0..1..0..4....0..1..0..4....0..1..4..0....0..1..2..1....0..1..0..3
%e ..2..3..3..2....2..3..3..2....2..3..1..2....2..3..4..0....2..3..4..3
%e ..4..0..1..0....4..0..1..0....2..1..3..2....2..3..1..2....2..0..2..1
%e ..4..0..4..3....4..3..4..1....0..4..1..0....2..1..3..2....1..2..0..4
%e ..0..1..2..1....2..3..2..1....4..0..4..3....0..4..1..0....3..4..3..2
%Y Row 2 is A230393(n-1)
%K nonn,tabl
%O 1,18
%A _R. H. Hardin_, Oct 23 2013
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