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%I #4 Apr 14 2014 06:35:10
%S 4,36,289,2362,19065,154858,1255585,10186158,82615013,670126562,
%T 5435464261,44088312610,357608156789,2900631278142,23527575671521,
%U 190836751334954,1547913820098569,12555429390762018,101839521640750945
%N Number of nX4 0..2 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order
%C Column 4 of A240893
%H R. H. Hardin, <a href="/A240889/b240889.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) +9*a(n-2) -63*a(n-3) +36*a(n-4) -405*a(n-5) -608*a(n-6) +600*a(n-7) +424*a(n-8) +4600*a(n-9) +10176*a(n-10) +9216*a(n-11) -2560*a(n-12) -29312*a(n-13) -40448*a(n-14) -30720*a(n-15) -16384*a(n-16)
%e Some solutions for n=4
%e ..0..1..2..1....0..1..2..1....0..1..2..0....0..1..2..1....0..1..0..2
%e ..2..0..1..0....1..0..1..2....1..2..1..2....1..0..1..0....1..0..2..1
%e ..0..2..0..2....0..1..0..1....2..0..2..0....0..2..0..2....0..2..1..0
%e ..2..0..1..0....2..0..1..2....0..2..1..2....2..0..1..0....2..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 14 2014
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