%I #4 Dec 18 2016 07:48:54
%S 0,240,3402,32430,281350,2407152,19743140,158848594,1258624282,
%T 9844338028,76222734478,585218086730,4461176817796,33798763018094,
%U 254698642981228,1910389951978662,14270404594453084,106212957005378782
%N Number of 6Xn 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 Row 6 of A279741.
%H R. H. Hardin, <a href="/A279746/b279746.txt">Table of n, a(n) for n = 1..186</a>
%e Some solutions for n=4
%e ..0..1..0..1. .0..1..1..1. .0..1..0..1. .0..1..0..1. .0..1..0..1
%e ..1..0..1..1. .0..1..0..0. .0..1..1..0. .1..0..1..0. .0..0..1..1
%e ..1..0..0..1. .0..0..1..0. .1..0..0..1. .1..0..0..1. .1..0..0..1
%e ..1..0..0..1. .1..0..1..0. .1..1..0..1. .1..1..1..0. .0..1..0..0
%e ..1..1..0..1. .1..0..1..0. .1..1..0..1. .1..0..1..0. .1..0..1..1
%e ..0..0..0..1. .0..1..0..1. .1..0..1..0. .0..1..0..1. .1..1..0..1
%Y Cf. A279741.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 18 2016