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

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

%S 1,99,1351,17175,289761,4216301,65282256,993629439,15177736646,

%T 231779144185,3537181684727,53999808742021,824352446553481,

%U 12584320094861238,192108754190909442,2932675433265799165

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

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

%C Column 7 of A196786

%H R. H. Hardin, <a href="/A196785/b196785.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

%e ..0..0..3..0..0..0..0....0..1..4..1..3..0..3....0..0..0..3..0..0..3

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 06 2011