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Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,2,1,1,1 for x=0,1,2,3,4
1

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

%S 2,14,47,155,835,2263,10827,38938,157178,654028,2607334,10482745,

%T 41930639,169374587,686689100,2793219587,11244612740,45359859580,

%U 183328706973,742423862981,3008747408411,12158966386525,49114866456717

%N Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,2,1,1,1 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 1's, every 4 is next to 4 1's

%C Column 4 of A197889

%H R. H. Hardin, <a href="/A197885/b197885.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions containing all values 0 to 4 for n=5

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

%e ..1..3..1..2....1..4..1..1....1..1..4..1....2..1..3..1....1..2..0..1

%e ..0..2..1..0....0..1..2..0....0..2..1..0....1..4..1..2....0..2..1..3

%e ..1..1..4..1....2..1..0..1....1..3..1..2....0..1..1..0....1..1..4..1

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 19 2011