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A279129 Number of nX3 0..1 arrays with no element equal 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.

%I A279129 #4 Dec 06 2016 18:57:14
%S A279129 0,9,66,256,820,2551,7491,21131,57971,155551,409876,1064002,2727560,
%T A279129 6917391,17381168,43320628,107203164,263611545,644549767,1567944409,
%U A279129 3796630655,9154650571,21989697066,52634342562,125577952504,298716701553
%N A279129 Number of nX3 0..1 arrays with no element equal 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.
%C A279129 Column 3 of A279134.
%H A279129 R. H. Hardin, <a href="/A279129/b279129.txt">Table of n, a(n) for n = 1..210</a>
%F A279129 Empirical: a(n) = 6*a(n-1) -11*a(n-2) +5*a(n-3) +a(n-5) +9*a(n-6) -6*a(n-7) +3*a(n-8) -5*a(n-9) -a(n-11) for n>17
%e A279129 Some solutions for n=4
%e A279129 ..0..1..1. .0..1..0. .0..1..0. .0..1..1. .0..0..1. .0..0..1. .0..1..0
%e A279129 ..0..1..0. .0..0..1. .0..1..0. .1..0..0. .1..1..1. .1..0..0. .0..1..0
%e A279129 ..1..0..0. .1..0..1. .1..0..0. .1..0..1. .1..0..0. .0..1..1. .0..1..0
%e A279129 ..0..1..0. .0..0..0. .0..1..1. .1..1..0. .0..1..1. .1..0..1. .1..0..1
%Y A279129 Cf. A279134.
%K A279129 nonn
%O A279129 1,2
%A A279129 _R. H. Hardin_, Dec 06 2016