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

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

%S 12,28,27,136,557,5955,38826,128960,351238,1374515,5837922,30814351,

%T 167525199,704218824,2677605502,10721905782,44470299831,200591500952,

%U 939099305213,4163383808755,17808261939750,75069877372742

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

%C Column 6 of A196477

%H R. H. Hardin, <a href="/A196475/b196475.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 03 2011