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

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

%S 16,664,7232,199384,4499426,93153650,2065093081,45796265386,

%T 1003308210971,22026879283832,484764553481336,10667288376795442,

%U 234488008953014630,5155498381464737047,113400638560649259216

%N Number of nX6 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 6 of A197409

%H R. H. Hardin, <a href="/A197407/b197407.txt">Table of n, a(n) for n = 1..164</a>

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 14 2011