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Number of 4Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2
1

%I #4 Jan 06 2013 19:57:03

%S 0,64,112,58081,1319409,103489929,4085800416,226720727104,

%T 10445351809532,530909339760900,25591483232781872,1268920553028932644,

%U 61970903049203536750,3051063081822723807844,149565983362653741790314

%N Number of 4Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2

%C Row 4 of A221255

%H R. H. Hardin, <a href="/A221258/b221258.txt">Table of n, a(n) for n = 1..16</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 06 2013