%I #5 Mar 31 2012 12:37:23
%S 12,134,1548,17992,209542,2440104,28421906,331022604,3855542052,
%T 44905676830,523026174520,6091752735350,70951709409564,
%U 826385215602400,9625043438830750,112104385765338376,1305697709338151066
%N Number of nX3 0..2 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it
%C Column 3 of A208445
%H R. H. Hardin, <a href="/A208440/b208440.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) +50*a(n-2) -117*a(n-3) +429*a(n-4) -1094*a(n-5) +1139*a(n-6) -1687*a(n-7) +1036*a(n-8) -1068*a(n-9) +144*a(n-10) -64*a(n-11) -128*a(n-12)
%e Some solutions for n=4
%e ..2..0..1....2..0..1....2..1..0....2..1..2....2..0..2....2..0..1....2..1..0
%e ..0..1..2....0..1..2....0..1..1....1..2..1....1..1..1....0..1..2....0..1..2
%e ..2..2..0....1..2..0....1..0..2....0..2..1....2..0..0....1..0..2....2..1..1
%e ..0..2..2....0..0..1....2..2..0....1..1..2....1..2..2....2..2..1....0..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 26 2012