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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 4,0,1,2,3 for x=0,1,2,3,4
1

%I #5 Mar 31 2012 12:36:26

%S 9,189,1235,15395,188078,2169685,25142624,291420839,3417608122,

%T 40048090008,466852430720,5449232674091,63760228123954,

%U 745737298355388,8713522565183852,101832009256003145,1190660595164563844

%N Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,1,2,3 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 1's, every 3 is next to 3 2's, every 4 is next to 4 3's

%C Column 5 of A196685

%H R. H. Hardin, <a href="/A196682/b196682.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 05 2011