%I #7 Mar 22 2018 12:54:29
%S 1,5,6,17,24,53,94,173,340,601,1178,2137,4056,7565,14086,26533,49276,
%T 92641,172722,323409,604896,1130389,2116062,3954141,7399172,13833769,
%U 25873674,48391369,90490216,169253917,316506038,591959445,1107045516
%N Number of n X 2 0..1 arrays with every element equal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.
%C Column 2 of A297986.
%H R. H. Hardin, <a href="/A297980/b297980.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-2) + 2*a(n-3) - 2*a(n-4) for n>5.
%F Empirical g.f.: x*(1 + 5*x + 3*x^2 - 2*x^4) / (1 - 3*x^2 - 2*x^3 + 2*x^4). - _Colin Barker_, Mar 22 2018
%e Some solutions for n=7:
%e ..0..0. .0..0. .0..1. .0..1. .0..1. .0..0. .0..1. .0..0. .0..0. .0..0
%e ..0..1. .0..0. .1..1. .1..1. .0..0. .0..1. .0..0. .0..0. .0..0. .0..1
%e ..1..1. .1..1. .0..1. .0..0. .1..1. .1..1. .1..0. .1..1. .1..1. .1..1
%e ..1..0. .0..1. .0..0. .0..1. .1..0. .0..1. .1..1. .1..0. .1..0. .0..1
%e ..0..0. .0..0. .0..1. .1..1. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0
%e ..0..1. .1..1. .1..1. .0..1. .1..1. .1..0. .0..1. .1..1. .1..0. .0..1
%e ..1..1. .1..1. .0..1. .0..0. .0..1. .1..1. .1..1. .0..1. .1..1. .1..1
%Y Cf. A297986.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 10 2018