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%I #8 Feb 11 2019 05:20:16
%S 0,4,40,352,3008,25280,209792,1723392,14039040,113562624,913131520,
%T 7304519680,58170228736,461421658112,3647369216000,28741570396160,
%U 225854805245952,1770332698705920,13844879799484416,108048964894326784
%N Number of n X 2 0..2 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="/A279574/b279574.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*a(n-1) - 72*a(n-2) + 64*a(n-3) - 16*a(n-4).
%F Empirical g.f.: 4*x^2*(1 - 6*x) / (1 - 8*x + 4*x^2)^2. - _Colin Barker_, Feb 11 2019
%e Some solutions for n=4:
%e ..0..1. .0..1. .0..1. .0..1. .0..0. .0..0. .0..0. .0..1. .0..1. .0..1
%e ..2..0. .2..0. .2..1. .2..0. .1..0. .1..0. .1..0. .0..2. .2..1. .0..2
%e ..0..2. .2..2. .1..0. .2..2. .0..2. .1..0. .1..0. .2..2. .2..2. .0..1
%e ..1..1. .1..1. .2..2. .2..0. .1..2. .1..2. .2..0. .1..2. .1..1. .2..2
%Y Column 2 of A279580.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 15 2016
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