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

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

%S 1,89,2435,41459,1041263,24799027,564930689,13016997513,302413118055,

%T 7014256316261,162356900029937,3756243587537729,87022713805696677,

%U 2015969474427313369,46677826922272579365,1080890025532285110563

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

%C Every 0 is next to 0 4's, every 1 is next to 1 3'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 A197364

%H R. H. Hardin, <a href="/A197362/b197362.txt">Table of n, a(n) for n = 1..200</a>

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 14 2011