%I #4 Jan 02 2017 10:53:38
%S 0,14,66,238,769,2432,7440,22494,66934,197146,575042,1664510,4785950,
%T 13683634,38931434,110291246,311272806,875559938,2455439762,
%U 6867568958,19161061470,53342827474,148202912538,410993902254,1137828238230
%N Number of 3Xn 0..2 arrays with no element unequal 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.
%C Row 3 of A280398.
%H R. H. Hardin, <a href="/A280401/b280401.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -13*a(n-2) -13*a(n-3) +69*a(n-4) -51*a(n-5) -79*a(n-6) +121*a(n-7) +8*a(n-8) -24*a(n-9) -80*a(n-10) -24*a(n-11) +176*a(n-12) -32*a(n-13) -80*a(n-14) -48*a(n-15) +64*a(n-17) for n>19
%e Some solutions for n=4
%e ..0..0..1..1. .0..0..0..1. .0..0..1..1. .0..0..0..1. .0..0..1..1
%e ..0..0..2..2. .1..0..1..1. .0..1..2..2. .0..0..0..1. .0..1..2..2
%e ..0..2..2..2. .0..1..1..1. .1..2..2..0. .0..0..1..1. .2..2..2..2
%Y Cf. A280398.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 02 2017