A221230 - OEIS

%I #5 Jan 05 2013 08:21:23

%S 1,14,119,852,6360,47334,351402,2609499,19373481,143810755,1067445448,

%T 7922843437,58803820979,436439347912,3239207207387,24040945903904,

%U 178428089506023,1324262997498462,9828446743250451,72944964878131496

%N Number of nX2 arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2

%C Column 2 of A221234

%H R. H. Hardin, <a href="/A221230/b221230.txt">Table of n, a(n) for n = 1..209</a>

%F Empirical: a(n) = 13*a(n-1) -48*a(n-2) +60*a(n-3) -124*a(n-4) +370*a(n-5) -458*a(n-6) +370*a(n-7) -768*a(n-8) +889*a(n-9) -476*a(n-10) +126*a(n-11) -17*a(n-12) +a(n-13)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 05 2013