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Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,1,4,2 for x=0,1,2,3,4
1

%I #5 Mar 31 2012 12:36:25

%S 5,61,290,2161,14231,97892,686759,4731033,32374680,222897413,

%T 1539916243,10636418118,73345982967,505430824497,3485517910342,

%U 24049220604349,165913015451421,1144300512605372,7891941802463913,54435005065152899

%N Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,1,4,2 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 1's, every 3 is next to 3 4's, every 4 is next to 4 2's

%C Column 4 of A196300

%H R. H. Hardin, <a href="/A196296/b196296.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 30 2011