%I
%S 0,1,2,1,8,5,22,29,60,121,194,425,704,1421,2574,4821,9156,16769,31962,
%T 58977,111112,207317,387366,726221,1354508,2538761,4741234,8872857,
%U 16592208,31023517,58039870,108509253,202982228,379560465,709885450
%N Number of n X 2 0..1 arrays with every element equal to 2 or 3 kingmove adjacent elements, with upper left element zero.
%C Column 2 of A297814.
%H R. H. Hardin, <a href="/A297809/b297809.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n2) +2*a(n3) 2*a(n4).
%F Empirical g.f.: x^2*(1 + 2*x  2*x^2) / (1  3*x^2  2*x^3 + 2*x^4).  _Colin Barker_, Feb 21 2018
%e Some solutions for n=7:
%e ..0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0
%e ..1..0. .1..0. .0..0. .0..0. .0..0. .0..1. .0..1. .0..0. .0..1. .1..0
%e ..1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1
%e ..1..0. .1..0. .1..1. .0..1. .0..1. .1..0. .0..1. .1..0. .1..0. .1..0
%e ..0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0
%e ..1..1. .0..1. .0..1. .1..0. .1..1. .1..1. .0..1. .1..1. .0..1. .1..0
%e ..1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1
%Y Cf. A297814.
%K nonn
%O 1,3
%A _R. H. Hardin_, Jan 06 2018
