login
Number of 5Xn 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 07:48:04

%S 0,80,766,4940,29140,167904,927615,5029822,26842413,141506744,

%T 738488507,3821661440,19635250935,100265767074,509297332780,

%U 2575109743084,12967976929637,65073500707556,325507453206018,1623623692686646

%N Number of 5Xn 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 5 of A279741.

%H R. H. Hardin, <a href="/A279745/b279745.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A279741.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 18 2016