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Number of 3 X n arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor.
1

%I #6 Oct 18 2021 16:36:46

%S 1,144,4872,179300,6405243,229006550,8187649472,292733110656,

%T 10466092166432,374194374753326,13378578012147801,478324533007616827,

%U 17101545371715018992,611431849960750401963,21860533596256955469254

%N Number of 3 X n arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor.

%C Row 3 of A221125.

%H R. H. Hardin, <a href="/A221127/b221127.txt">Table of n, a(n) for n = 1..21</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A221125.

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 02 2013