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Number of nX5 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
1

%I #4 Dec 27 2016 09:20:57

%S 5,40,305,1854,10677,58852,318220,1695030,8941285,46760710,242970442,

%T 1255597078,6458360287,33085037590,168885713050,859370947890,

%U 4360537440625,22069557056618,111441207638795,561547964534696

%N Number of nX5 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 5 of A280161.

%H R. H. Hardin, <a href="/A280158/b280158.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A280158/a280158.txt">Empirical recurrence of order 70</a>

%F Empirical recurrence of order 70 (see link above)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A280161.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 27 2016