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

%I #6 Apr 21 2020 12:57:57

%S 1,1,5,52,790,23564,1188839,110266512,18113056960,5286615353516,

%T 2755789744812452

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

%C Diagonal of A280069.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A280069.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 25 2016