A221430 - OEIS

%I #5 Jan 16 2013 07:58:55

%S 1,31,286,3295,34477,371116,3952193,42233189,450737852,4812507367,

%T 51375286141,548476573106,5855368833337,62510491196149,

%U 667345378826444,7124406585458739,76058302324451277,811978618013721140

%N Number of nX2 arrays of occupancy after each element moves to some king-move neighbor, without consecutive moves in the same direction

%C Column 2 of A221432

%H R. H. Hardin, <a href="/A221430/b221430.txt">Table of n, a(n) for n = 1..26</a>

%F Empirical: a(n) = 13*a(n-1) -13*a(n-2) -151*a(n-3) +286*a(n-4) -287*a(n-5) +833*a(n-6) -966*a(n-7) +488*a(n-8) +39*a(n-9) -63*a(n-10) +26*a(n-11) -2*a(n-12)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 16 2013