%I #5 Mar 31 2012 12:37:24
%S 12,160,2284,32446,461280,6557958,93227592,1325375622,18841850112,
%T 267863199566,3808028293448,54136282267542,769619639908176,
%U 10941178835048766,155543535899731032,2211260341782871974
%N Number of nX3 0..2 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it
%C Column 3 of A208796
%H R. H. Hardin, <a href="/A208791/b208791.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +123*a(n-2) +332*a(n-3) -170*a(n-4) -796*a(n-5) +124*a(n-6) +464*a(n-7) -88*a(n-8) -16*a(n-9)
%e Some solutions for n=4
%e ..0..1..0....2..1..0....1..2..1....2..0..1....0..1..2....2..1..2....2..0..1
%e ..2..0..2....0..2..2....2..1..1....0..0..2....1..2..0....1..2..1....0..0..2
%e ..0..0..1....1..0..2....1..0..1....2..0..0....0..2..0....0..2..1....1..0..2
%e ..1..0..0....2..2..2....2..2..2....1..0..1....2..0..1....1..2..2....2..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 01 2012