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

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

%S 1,99,1468,52291,1730105,46685074,1436535356,42144649101,

%T 1242942835600,36966191677933,1095659240954513,32430161990804370,

%U 960817109357914432,28466699840871876758,843388951593615572344,24985495292021432741463

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

%C Every 0 is next to 0 4's, every 1 is next to 1 2'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 A196809

%H R. H. Hardin, <a href="/A196808/b196808.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

%e ..0..2..3..0..3..0..3....3..0..0..0..0..0..0....0..0..0..0..3..3..0

%e ..0..3..0..3..2..0..0....0..3..2..3..0..0..3....3..0..3..3..0..0..3

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 06 2011