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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.
1

%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