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

%I #5 Mar 31 2012 12:36:26

%S 16,544,5186,109528,2169685,39696088,741925729,14189246566,

%T 269528695666,5096101360077,96554573632988,1834601649407584,

%U 34805324258849319,659906675083272359,12522345994463073108,237662773521226652080

%N Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,1,2,3 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 1's, every 3 is next to 3 2's, every 4 is next to 4 3's

%C Column 6 of A196685

%H R. H. Hardin, <a href="/A196683/b196683.txt">Table of n, a(n) for n = 1..142</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 05 2011