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%I #4 Jan 26 2013 10:43:18
%S 0,14,202,2879,40983,583419,8304016,118195328,1682332699,23945477164,
%T 340827864824,4851172222091,69049142818994,982810732310121,
%U 13988833113623959,199110007092542464,2834031588079597413
%N Number of 3Xn arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without 2-loops or left turns
%C Row 3 of A221828
%H R. H. Hardin, <a href="/A221830/b221830.txt">Table of n, a(n) for n = 1..184</a>
%F Empirical: a(n) = 17*a(n-1) -39*a(n-2) -14*a(n-3) +134*a(n-4) -161*a(n-5) +50*a(n-6) -147*a(n-7) +129*a(n-8) +215*a(n-9) -131*a(n-10) +53*a(n-11) -92*a(n-12) -97*a(n-13) +31*a(n-14) -27*a(n-15) +16*a(n-16) +6*a(n-17) for n>18
%e Some solutions for n=3
%e ..0..2..0....1..1..1....1..1..2....1..1..0....1..1..0....0..2..0....1..1..0
%e ..1..1..1....0..1..1....1..1..1....3..0..1....2..1..0....2..1..2....3..2..0
%e ..1..2..1....1..3..0....1..1..0....1..1..1....2..2..0....0..1..1....1..1..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Jan 26 2013
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