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A279743 Number of 3Xn 0..1 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.

%I A279743 #4 Dec 18 2016 07:46:22
%S A279743 0,8,35,106,286,746,1887,4700,11553,28104,67759,162144,385583,912098,
%T A279743 2147806,5037496,11773111,27427532,63715400,147634764,341291898,
%U A279743 787312776,1812720970,4166252110,9559865376,21903001872,50112866179
%N A279743 Number of 3Xn 0..1 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.
%C A279743 Row 3 of A279741.
%H A279743 R. H. Hardin, <a href="/A279743/b279743.txt">Table of n, a(n) for n = 1..210</a>
%F A279743 Empirical: a(n) = 6*a(n-1) -13*a(n-2) +10*a(n-3) +10*a(n-4) -30*a(n-5) +21*a(n-6) +2*a(n-7) -14*a(n-8) +10*a(n-9) -7*a(n-10) +6*a(n-11) +6*a(n-12) -2*a(n-13) -a(n-14) -2*a(n-15) -a(n-16) for n>18
%e A279743 Some solutions for n=4
%e A279743 ..0..1..0..1. .0..1..1..1. .0..1..0..1. .0..1..0..0. .0..1..0..1
%e A279743 ..1..0..0..0. .0..1..0..0. .1..0..0..1. .0..1..1..1. .0..0..0..0
%e A279743 ..0..1..1..0. .0..1..1..0. .1..1..0..0. .0..0..0..1. .0..1..1..0
%Y A279743 Cf. A279741.
%K A279743 nonn
%O A279743 1,2
%A A279743 _R. H. Hardin_, Dec 18 2016