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%I #5 Jan 02 2013 05:35:07
%S 0,13,141,1570,16336,168102,1719791,17563383,179239960,1828745024,
%T 18656531088,190324103929,1941561709213,19806447161642,
%U 202051097462636,2061178349190934,21026637541038659,214498395147150163
%N Number of nX2 arrays of occupancy after each element moves to some king-move neighbor, without 2-loops
%C Column 2 of A221106
%H R. H. Hardin, <a href="/A221103/b221103.txt">Table of n, a(n) for n = 1..34</a>
%F Empirical: a(n) = 17*a(n-1) -80*a(n-2) +98*a(n-3) +145*a(n-4) -410*a(n-5) +336*a(n-6) -51*a(n-7) -41*a(n-8) +2*a(n-9)
%e Some solutions for n=3
%e ..1..1....1..2....2..1....1..1....0..0....1..0....0..2....0..1....1..0....1..1
%e ..0..2....0..3....1..1....0..2....1..2....1..1....2..2....0..3....2..1....2..0
%e ..2..0....0..0....0..1....0..2....1..2....1..2....0..0....1..1....0..2....0..2
%K nonn
%O 1,2
%A _R. H. Hardin_ Jan 02 2013