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Number of n X n 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 3 neighboring 1's.
0

%I #6 Apr 26 2020 21:03:01

%S 2,9,83,2458,214830,52756072,39585589653,84537581697810,

%T 511595224386235896,8854271989464391363762,434511224471903201800210223

%N Number of n X n 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 3 neighboring 1's.

%C Diagonal of A296588.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A296588.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2017