%I #8 Feb 12 2019 09:24:51
%S 1,4,33,96,255,610,1437,3292,7451,16662,36921,81200,177399,385450,
%T 833365,1794180,3848019,8225214,17528049,37250392,78966831,167021394,
%U 352528653,742650796,1561730955,3278806630,6873273257,14387809152,30078027111
%N Number of n X 2 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
%H R. H. Hardin, <a href="/A279866/b279866.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) - 4*a(n-2) - 14*a(n-3) + 19*a(n-4) + 13*a(n-5) - 22*a(n-6) - 4*a(n-7) + 8*a(n-8) for n>9.
%F Empirical g.f.: x*(1 - x + 17*x^2 - 39*x^3 - 56*x^4 + 92*x^5 + 94*x^6 - 44*x^7 - 80*x^8) / ((1 - x)^2*(1 + x)^3*(1 - 2*x)^3). - _Colin Barker_, Feb 12 2019
%e Some solutions for n=4:
%e ..0..0. .0..0. .0..0. .0..0. .0..1. .0..0. .0..0. .0..1. .0..0. .0..1
%e ..0..0. .1..0. .1..0. .0..0. .1..1. .0..1. .1..1. .0..1. .1..1. .2..2
%e ..1..2. .1..1. .2..0. .0..1. .1..0. .0..1. .1..0. .0..0. .1..1. .2..2
%e ..1..1. .1..1. .0..0. .1..1. .1..1. .0..0. .1..0. .2..2. .0..2. .0..0
%Y Column 2 of A279871.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 21 2016