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Number of n X 4 arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor.
1

%I #6 Mar 15 2023 14:49:42

%S 4,2056,291080,43253705,6388528170,944223520057,139549646254609,

%T 20624731224928936,3048237966941788465,450515041275014945368,

%U 66583978433834919848004,9840795003881912664407189

%N Number of n X 4 arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor.

%C Column 4 of A220943.

%H R. H. Hardin, <a href="/A220941/b220941.txt">Table of n, a(n) for n = 1..14</a>

%e Some solutions for n=3

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

%e ..2..1..1..4....2..4..1..2....0..2..0..0....0..3..1..1....1..5..2..1

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

%Y Cf. A220943.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2012