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

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

%S 1,65,780,10708,154629,2166536,30213746,423781213,5929501986,

%T 83127041136,1164232610323,16309719386435,228474526845154,

%U 3200565487849560,44835398622377697,628080583294667526,8798521636340417779

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

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

%C Column 6 of A196641

%H R. H. Hardin, <a href="/A196639/b196639.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 04 2011