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

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

%S 0,2,8,60,296,1126,4237,24210,91541,440533,1942297,8497706,37987962,

%T 169158221,750990638,3344857959,14827515754,65958541835,293291341441,

%U 1303464660150,5793684155190,25748199147004,114445600714047

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

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

%C Column 6 of A196078

%H R. H. Hardin, <a href="/A196076/b196076.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Sep 27 2011