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

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

%S 12,62,259,3246,25295,237905,1783508,14742650,131257701,1161104389,

%T 9477920113,79981857183,698216221745,5973531188672,50458097968498,

%U 431717763820004,3722514631710593,31795825068196111,270678277789108068

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

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

%C Column 6 of A196337

%H R. H. Hardin, <a href="/A196335/b196335.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 01 2011