%I
%S 3,31,258,2241,19408,167960,1453952,12585637,108943526,943035150,
%T 8163084148,70661144632,611655753520,5294603734144,45831055372945,
%U 396721972412987,3434097733826959,29726176177614458,257315201439500033
%N Number of 2 X n arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, without movein moveout straight through or left turns.
%C Row 2 of A221898.
%H R. H. Hardin, <a href="/A221899/b221899.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n1) + 26*a(n2) + 45*a(n3) + 34*a(n4)  2*a(n5)  4*a(n6) + a(n7).
%F Empirical g.f.: x*(3 + 16*x + 25*x^2 + 10*x^3  2*x^4  4*x^5 + x^6) / (1  5*x  26*x^2  45*x^3  34*x^4 + 2*x^5 + 4*x^6  x^7).  _Colin Barker_, Aug 11 2018
%e Some solutions for n=3:
%e ..0..2..3....0..0..0....0..3..0....2..0..2....1..1..2....0..4..1....1..2..1
%e ..1..0..0....3..2..1....2..0..1....2..0..0....0..2..0....0..1..0....0..1..1
%Y Cf. A221898.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 30 2013
