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Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,0,2,4 for x=0,1,2,3,4
1

%I #5 Mar 31 2012 12:36:27

%S 12,496,8767,199125,4326720,94652804,2069281146,45250654402,

%T 989582452566,21641093339471,473258424515226,10349412319177011,

%U 226326014259354738,4949414076598335496,108236297594374361032,2366965861351964408167

%N Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,0,2,4 for x=0,1,2,3,4

%C Every 0 is next to 0 3's, every 1 is next to 1 1's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 4's

%C Column 5 of A196856

%H R. H. Hardin, <a href="/A196853/b196853.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

%e ..0..0..2..2..0....0..0..0..2..0....0..0..0..2..1....0..0..0..1..0

%e ..1..0..0..0..0....1..1..2..1..1....0..0..0..0..1....0..1..0..1..2

%e ..1..2..1..1..0....0..2..0..0..2....2..2..0..0..2....0..1..0..2..0

%e ..0..0..0..2..0....0..1..1..2..0....0..2..0..0..0....0..0..1..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 06 2011