%I #8 Feb 21 2018 11:09:31
%S 0,1,0,3,6,24,72,232,720,2232,6848,20880,63264,190656,571776,1707264,
%T 5077504,15046272,44439552,130854656,384228864,1125285888,3287672832,
%U 9583835136,27879174144,80941029376,234562535424,678574706688
%N Number of n X 1 0..2 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
%C Column 1 of A279305.
%H R. H. Hardin, <a href="/A279300/b279300.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) - 6*a(n-2) - 16*a(n-3) + 12*a(n-4) + 24*a(n-5) + 8*a(n-6) for n>8.
%F Empirical g.f.: x^2*(1 - 2*x - x^2)*(1 - 4*x + 2*x^2 + 4*x^3 + 4*x^4) / (1 - 2*x - 2*x^2)^3. - _Colin Barker_, Feb 21 2018
%e All solutions for n=4:
%e ..0. .0. .0
%e ..0. .1. .0
%e ..1. .1. .0
%e ..1. .1. .1
%Y Cf. A279305.
%K nonn
%O 1,4
%A _R. H. Hardin_, Dec 09 2016