A281771 - OEIS

A281771

Number of 7Xn 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.

%I #4 Jan 29 2017 12:45:19

%S 0,120,672,18358,201450,2848436,38998648,491290688,6531040026,

%T 83421129072,1061825672182,13538745056328,170149200534678,

%U 2139241444399412,26751312122710302,332989768683012174

%N Number of 7Xn 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 7 of A281765.

%H R. H. Hardin, <a href="/A281771/b281771.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

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

%Y Cf. A281765.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 29 2017