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Number of n X 3 arrays of occupancy after each element moves to some king-move neighbor, without move-in move-out left turns.
1

%I #6 May 12 2023 14:57:59

%S 2,140,4656,154886,5151998,171049120,5677948938,188450054011,

%T 6254325771044,207566300235783,6888593198993242,228614249447935042,

%U 7587098694519299516,251795554672602293612,8356421637843385136719

%N Number of n X 3 arrays of occupancy after each element moves to some king-move neighbor, without move-in move-out left turns.

%C Column 3 of A221602.

%H R. H. Hardin, <a href="/A221601/b221601.txt">Table of n, a(n) for n = 1..69</a>

%e Some solutions for n=3

%e ..1..2..0....1..4..1....1..1..0....0..1..1....1..1..1....2..2..0....1..0..1

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

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

%Y Cf. A221602.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 20 2013