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%I #7 Apr 19 2020 23:56:21
%S 2,8,96,2119,130297,16277492,5193690642,3603917287497,
%T 6073485212079264,23075270570489849128,207672501598695910705310,
%U 4285665784382445160009080062,207135689108669020537324268900868
%N Number of n X n 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1's.
%C Diagonal of A297338.
%H R. H. Hardin, <a href="/A297332/b297332.txt">Table of n, a(n) for n = 1..19</a>
%e Some solutions for n=5
%e ..1..0..0..0..1. .1..0..0..0..1. .0..0..1..0..0. .0..0..0..0..1
%e ..1..0..0..0..1. .0..0..0..0..0. .0..0..0..0..0. .0..0..1..0..1
%e ..0..0..0..0..0. .1..0..0..1..1. .1..0..1..1..0. .0..0..0..0..1
%e ..0..0..1..0..0. .1..0..1..1..0. .0..1..1..0..1. .1..0..1..0..1
%e ..1..0..0..0..0. .1..0..0..0..1. .0..0..1..0..0. .0..0..1..0..1
%Y Cf. A297338.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 28 2017