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%I #4 Oct 24 2013 07:26:19
%S 0,0,0,0,0,0,0,2,2,0,0,8,28,8,0,0,30,270,270,30,0,0,120,2966,7078,
%T 2966,120,0,0,506,34684,225010,225010,34684,506,0,0,2144,405122,
%U 7476932,20908278,7476932,405122,2144,0,0,9030,4682406,239885668,1902360932
%N T(n,k)=Number of nXk 0..5 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero
%C Table starts
%C .0....0.......0..........0............0............0............0
%C .0....0.......2..........8...........30..........120..........506
%C .0....2......28........270.........2966........34684.......405122
%C .0....8.....270.......7078.......225010......7476932....239885668
%C .0...30....2966.....225010.....20908278...1902360932.166037342468
%C .0..120...34684....7476932...1902360932.466409047158
%C .0..506..405122..239885668.166037342468
%C .0.2144.4682406.7573457652
%H R. H. Hardin, <a href="/A230592/b230592.txt">Table of n, a(n) for n = 1..71</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: a(n) = 5*a(n-1) -5*a(n-2) +5*a(n-3) +8*a(n-4)
%F k=3: [order 20]
%e Some solutions for n=3 k=4
%e ..0..3..4..5....0..1..2..3....0..5..4..5....0..1..2..1....0..1..0..5
%e ..1..2..1..0....3..4..1..4....1..4..1..0....5..4..3..2....5..2..5..4
%e ..0..3..4..5....2..5..0..5....2..3..2..5....0..1..2..1....4..3..4..3
%K nonn,tabl
%O 1,8
%A _R. H. Hardin_, Oct 24 2013
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