%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