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

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

%S 1,19,70,251,1350,3716,20706,63545,255501,992477,3693353,15143098,

%T 54682695,222402469,838015799,3238327921,12552211666,47967154876,

%U 187109798637,714494895572,2773237529931,10674786749417,41144890359713

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

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

%C Column 6 of A196138

%H R. H. Hardin, <a href="/A196136/b196136.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Sep 28 2011