%I #5 Mar 31 2012 12:37:23
%S 24,646,17992,505000,14204032,399447742,11236338658,316042155314,
%T 8889768939632,250047696761442,7033349877043778,197832631341863860,
%U 5564620617951528490,156520843068032034106,4402601032901666925362
%N Number of nX4 0..2 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it
%C Column 4 of A208445
%H R. H. Hardin, <a href="/A208441/b208441.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 22*a(n-1) +232*a(n-2) -2274*a(n-3) +21340*a(n-4) -147601*a(n-5) +623877*a(n-6) -2478495*a(n-7) +7316863*a(n-8) -20304345*a(n-9) +44585841*a(n-10) -86967147*a(n-11) +136172607*a(n-12) -169769685*a(n-13) +156927435*a(n-14) -104021019*a(n-15) +37315604*a(n-16) -12243416*a(n-17) -91497206*a(n-18) +127102756*a(n-19) -195503192*a(n-20) +105015024*a(n-21) -69805280*a(n-22) +74556992*a(n-23) -23342720*a(n-24) +26862336*a(n-25) -18183168*a(n-26) +5672960*a(n-27) -2228224*a(n-28) +786432*a(n-29) -262144*a(n-30)
%e Some solutions for n=4
%e ..2..1..2..1....2..0..1..2....1..2..0..2....1..0..2..0....0..1..2..1
%e ..0..2..1..2....0..2..2..0....2..0..2..0....2..0..0..1....2..2..0..0
%e ..1..2..2..0....2..0..0..1....1..2..1..1....0..1..0..0....0..2..2..0
%e ..0..0..2..2....0..1..2..1....2..0..1..2....2..0..1..0....1..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 26 2012