%I #7 Apr 23 2021 11:20:04

%S 8,83,457,4344,40221,374645,3307716,28430880,248312071,2192473876,

%T 19348789798,170510755795,1500864452926,13204967160428,

%U 116225998484492,1023302267971920,9009586965300230,79318454402499047,698273303070427478

%N Number of n X 5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,2,1,4 for x=0,1,2,3,4.

%C Every 0 is next to 0 3's, every 1 is next to 1 0'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 5 of A196485.

%H R. H. Hardin, <a href="/A196482/b196482.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A196485.

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 03 2011