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

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

%S 9,299,10548,299031,9357578,279754939,8471917814,259951215394,

%T 7909511305426,240483051204609,7323897043978887,223005036035867054,

%U 6789276300324773462,206701527466790215255,6293073883527501713425

%N Number of nX6 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 6 of A196696

%H R. H. Hardin, <a href="/A196694/b196694.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 05 2011