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

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

%S 12,192,1554,23930,374645,5627727,78510820,1084830372,15273876227,

%T 215684786758,3040422731042,42895265549152,605251738703146,

%U 8536098569421046,120369552083787125,1697424555170278400

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

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

%C Column 6 of A196485

%H R. H. Hardin, <a href="/A196483/b196483.txt">Table of n, a(n) for n = 1..192</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 03 2011