%I
%S 2,36,944,23072,547168,12701248,290067328,6540226304,145949741056,
%T 3229393518592,70948621604864,1549301789257728,33656105642434560,
%U 727817498719862784,15676632552910815232,336475872266838999040
%N Number of n X 3 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="/A279575/b279575.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 44*a(n1)  556*a(n2) + 1616*a(n3)  2000*a(n4) + 1152*a(n5)  256*a(n6) for n>7.
%F Empirical g.f.: 2*x*(1  2*x)^2*(1  22*x + 144*x^2  176*x^3 + 64*x^4) / (1  22*x + 36*x^2  16*x^3)^2.  _Colin Barker_, Feb 11 2019
%e Some solutions for n=4:
%e ..0..0..1. .0..1..2. .0..1..2. .0..1..2. .0..0..1. .0..1..1. .0..0..1
%e ..2..0..0. .1..1..0. .2..1..2. .1..0..2. .1..1..0. .2..2..1. .2..1..0
%e ..1..1..0. .2..1..1. .1..0..1. .2..1..1. .0..1..2. .0..2..0. .2..2..2
%e ..0..1..0. .2..0..2. .0..2..2. .1..2..2. .2..1..2. .2..2..1. .0..1..0
%Y Column 3 of A279580.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2016
