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%I #5 Mar 31 2012 12:36:27
%S 1,3,3,4,6,4,5,14,14,5,8,36,40,36,8,12,83,171,171,83,12,17,192,543,
%T 1142,543,192,17,25,468,1984,6078,6078,1984,468,25,37,1112,7368,36590,
%U 56137,36590,7368,1112,37,54,2624,25698,222112,573131,573131,222112,25698,2624
%N T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,0,2,1,3 for x=0,1,2,3,4
%C Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 3's
%C Table starts
%C ..1....3......4........5..........8...........12.............17..............25
%C ..3....6.....14.......36.........83..........192............468............1112
%C ..4...14.....40......171........543.........1984...........7368...........25698
%C ..5...36....171.....1142.......6078........36590.........222112.........1307674
%C ..8...83....543.....6078......56137.......573131........5443550........50508808
%C .12..192...1984....36590.....573131......9202067......139260414......2140451320
%C .17..468...7368...222112....5443550....139260414.....3464871506.....87347779774
%C .25.1112..25698..1307674...50508808...2140451320....87347779774...3526366342860
%C .37.2624..91687..7735880..481054949..33452130666..2189117562853.141849367991283
%C .54.6267.332017.45646026.4618260844.518611497139.54554907624355
%H R. H. Hardin, <a href="/A196718/b196718.txt">Table of n, a(n) for n = 1..144</a>
%e Some solutions for n=6 k=4
%e ..1..0..0..1....0..1..1..1....1..2..2..0....0..0..0..0....1..0..2..2
%e ..1..1..2..2....1..3..0..0....0..2..2..0....1..2..2..0....1..0..2..2
%e ..0..1..2..2....3..1..0..0....0..0..0..0....1..2..2..0....2..2..0..0
%e ..0..1..1..0....1..3..0..0....1..3..1..1....0..1..1..0....2..2..0..0
%e ..0..3..1..0....0..1..2..2....3..1..2..2....0..2..2..0....0..0..0..0
%e ..0..1..3..1....0..1..2..2....1..0..2..2....1..2..2..0....0..0..0..0
%Y Column 1 is A179070(n+2)
%Y Column 2 is A196479
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Oct 05 2011
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