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Number of 6Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
1

%I #4 Jan 29 2017 12:44:34

%S 0,68,374,5948,49986,502276,4845178,43943360,414035752,3763905492,

%T 34161108524,309491219676,2770210355448,24781891977992,

%U 220487430433918,1953506661837984,17268182347051482,152093095781502104

%N Number of 6Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Row 6 of A281765.

%H R. H. Hardin, <a href="/A281770/b281770.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..0..0..0..0. .0..1..0..0. .0..0..0..1. .0..0..0..0. .0..0..0..0

%e ..0..0..0..1. .1..0..1..0. .0..0..1..1. .0..0..0..0. .0..0..0..0

%e ..0..0..1..1. .1..1..0..1. .0..0..1..1. .1..1..1..0. .1..1..0..0

%e ..0..0..1..1. .0..0..1..0. .0..1..1..1. .1..1..0..1. .1..1..1..0

%e ..1..1..0..0. .0..0..0..1. .1..0..1..0. .1..0..1..0. .1..1..0..1

%e ..1..1..0..0. .0..0..1..1. .0..1..0..1. .1..1..0..1. .1..1..1..1

%Y Cf. A281765.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 29 2017