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Number of 3Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction
1

%I #4 Jan 17 2013 17:27:35

%S 0,16,50,1407,11784,182524,2017564,26614749,319184574,4025795483,

%T 49427052472,615583634915,7608564525014,94422452015321,

%U 1169266780165296,14496003421951958,179605335059387526,2226026121739586735

%N Number of 3Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction

%C Row 3 of A221483

%H R. H. Hardin, <a href="/A221485/b221485.txt">Table of n, a(n) for n = 1..35</a>

%e Some solutions for n=3

%e ..1..2..0....0..2..1....0..3..0....0..2..0....0..3..0....0..2..0....0..1..0

%e ..0..3..2....1..1..1....2..0..1....2..2..1....1..1..0....1..2..1....2..3..1

%e ..0..1..0....0..3..0....0..3..0....0..2..0....1..2..1....0..2..1....0..2..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 17 2013