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Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,3,0,4 for x=0,1,2,3,4
1

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

%S 13,890,55431,2810070,155701871,8471917814,465819437152,

%T 25583402376768,1398455518363119,76661027104639150,

%U 4203790099076060084,230345827821159257944,12623159468847996681154,691830641310960796256835

%N Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,3,0,4 for x=0,1,2,3,4

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

%C Column 7 of A196696

%H R. H. Hardin, <a href="/A196695/b196695.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

%e ..0..0..0..0..0..3..0....0..0..0..0..0..0..1....0..0..0..0..0..1..1

%e ..0..0..0..0..0..0..0....0..0..1..0..3..0..1....0..0..0..0..0..0..0

%e ..0..1..0..3..1..1..0....0..0..1..0..3..0..0....0..0..0..0..0..0..0

%e ..0..1..0..0..0..0..0....1..1..0..3..0..3..0....0..3..0..3..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 05 2011