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%I #6 Mar 10 2023 13:46:01
%S 0,42,236,4390,46288,622615,7432234,93888241,1152556808,14353368646,
%T 177428523106,2201695708298,27265977663320,338018668912390,
%U 4188131487955190,51907066789018822,643229257269298586
%N Number of n X 3 arrays of occupancy after each element moves to some horizontal or vertical neighbor, without consecutive moves in the same direction.
%C Column 3 of A221429.
%H R. H. Hardin, <a href="/A221426/b221426.txt">Table of n, a(n) for n = 1..58</a>
%e Some solutions for n=3
%e ..0..0..2....0..3..1....0..2..0....0..2..1....1..2..0....2..1..0....1..1..0
%e ..2..2..1....1..1..0....1..1..2....2..1..0....1..2..1....0..1..2....1..1..3
%e ..0..2..0....1..1..1....2..0..1....0..1..2....1..1..0....1..2..0....2..0..0
%Y Cf. A221429.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 15 2013
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