%I #9 Mar 14 2018 12:20:55
%S 3,25,184,1367,10179,75782,564169,4200043,31267890,232778781,
%T 1732958641,12901286112,96045675555,715027301353,5323134422488,
%U 39628920498935,295023799000179,2196351575583206,16351088488165993,121728277803994939
%N Number of n X 2 arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without movein moveout left turns.
%C Column 2 of A221780.
%H R. H. Hardin, <a href="/A221777/b221777.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n1)  5*a(n2) + 7*a(n3)  4*a(n4)  a(n5).
%F Empirical g.f.: x*(3 + x  x^2  x^3) / ((1 + x^2)*(1  8*x + 4*x^2 + x^3)).  _Colin Barker_, Mar 14 2018
%e Some solutions for n=3:
%e ..0..2....0..1....1..2....0..0....0..2....1..1....2..0....2..0....1..1....0..1
%e ..1..3....1..2....1..2....2..1....2..2....2..2....1..2....1..2....0..0....0..3
%e ..0..0....0..2....0..0....3..0....0..0....0..0....0..1....1..0....2..2....2..0
%Y Cf. A221780.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 25 2013
