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

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

%S 5,71,358,3305,25621,199384,1634731,13013551,103260478,825286477,

%T 6597403489,52719871616,421012069157,3360781198751,26839340562982,

%U 214392512110323,1712358386200271,13675010695945780,109210026376844947

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

%C Column 4 of A197409

%H R. H. Hardin, <a href="/A197405/b197405.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions containing all values 0 to 4 for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 14 2011