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%I #8 Feb 24 2019 09:10:30
%S 3,10,25,68,208,609,1785,5375,16174,48589,146652,443220,1339225,
%T 4049457,12250187,37060306,112130705,339304900,1026763976,3107142321,
%U 9402919993,28455721175,86115053750,260609950693,788686494268,2386813930604
%N Number of n X 2 0..1 arrays with each 1 adjacent to 0, 2 or 3 king-move neighboring 1s.
%H R. H. Hardin, <a href="/A296668/b296668.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) + 5*a(n-3) - 10*a(n-4) - 12*a(n-5) - 4*a(n-6).
%F Empirical g.f.: x*(3 + x - 5*x^2 - 22*x^3 - 16*x^4 - 4*x^5) / (1 - 3*x - 5*x^3 + 10*x^4 + 12*x^5 + 4*x^6). - _Colin Barker_, Feb 24 2019
%e Some solutions for n=7:
%e ..1..0. .0..0. .0..0. .1..0. .0..0. .1..1. .0..0. .1..0. .0..1. .0..0
%e ..1..1. .0..0. .1..1. .1..1. .1..1. .1..0. .0..0. .0..0. .0..0. .1..0
%e ..0..0. .0..1. .0..1. .0..0. .1..1. .1..0. .0..0. .0..1. .0..1. .0..0
%e ..0..0. .1..1. .1..0. .1..1. .0..0. .1..0. .1..0. .1..1. .0..0. .1..1
%e ..0..0. .0..1. .0..1. .0..1. .0..0. .1..0. .1..1. .1..0. .0..1. .1..0
%e ..0..1. .1..0. .1..0. .0..0. .0..1. .0..1. .0..0. .0..0. .0..0. .0..0
%e ..0..0. .1..1. .1..1. .0..1. .0..0. .1..1. .1..0. .1..0. .0..0. .0..1
%Y Column 2 of A296674.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 18 2017
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