%I
%S 0,2,6,14,26,48,84,146,250,426,722,1220,2056,3458,5806,9734,16298,
%T 27256,45532,75986,126690,211042,351266,584204,970896,1612418,2676054,
%U 4438526,7357370,12188736,20181732,33398930,55244746,91336218,150937586
%N Number of 2 X n 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
%H R. H. Hardin, <a href="/A279742/b279742.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n1)  a(n2)  3*a(n3) + a(n4) + a(n5).
%F Empirical g.f.: 2*x^2*(1  x^2  2*x^3) / ((1  x)*(1  x  x^2)^2).  _Colin Barker_, Feb 11 2019
%e Some solutions for n=4:
%e ..0..0..1..0. .0..1..0..0. .0..1..1..0. .0..1..1..0. .0..1..1..0
%e ..1..0..1..0. .1..0..1..0. .0..0..1..1. .0..1..0..1. .1..0..1..0
%Y Row 2 of A279741.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 18 2016
