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Number of n X n 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.
0

%I #10 Apr 15 2024 17:56:04

%S 0,2,35,736,29140,2407152,413326300,151323545378,119347643570782,

%T 203229304788874114,751402813331642186551

%N Number of n X n 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 Diagonal of A279741.

%e Some solutions for n=4:

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

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

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

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

%Y Cf. A279741.

%K nonn,more

%O 1,2

%A _R. H. Hardin_, Dec 18 2016