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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 and with new values introduced in order 0 sequentially upwards.
0

%I #6 Apr 21 2020 12:56:00

%S 1,2,11,125,3245,187484,24137862,6837220721,4307342174510,

%T 5994530717421378,18451958514090493382

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

%C Diagonal of A279709.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A279709.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 17 2016