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Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,1,0,0 for x=0,1,2,3,4
1

%I #5 Mar 31 2012 12:36:29

%S 11,321,15410,585194,23829080,982926107,40087361395,1640477445822,

%T 67160665746869,2747685400705119,112433629005651948,

%U 4600917175526994358,188267595598497672073,7703877269427034462338,315242428170240015474340

%N Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,1,0,0 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 1's, every 3 is next to 3 0's, every 4 is next to 4 0's

%C Column 6 of A197450

%H R. H. Hardin, <a href="/A197448/b197448.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions containing all values 0 to 4 for n=4

%e ..1..1..0..0..3..0....2..1..1..0..1..1....0..0..0..1..2..1....0..0..0..0..1..1

%e ..2..2..3..0..0..3....1..0..0..0..0..0....0..0..0..1..2..1....1..3..0..4..0..0

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

%e ..0..0..3..0..0..0....0..3..0..0..3..0....0..0..0..3..0..0....2..1..1..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 15 2011