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%I #7 Apr 19 2020 23:56:46
%S 2,16,393,33054,9554038,9012089653,28559447121714,303815967798840330,
%T 10773278233104610398411,1277577652466325205472347977,
%U 506760911000629827324155339742511
%N Number of n X n 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0, 1 or 2 neighboring 1's.
%C Diagonal of A297374.
%H R. H. Hardin, <a href="/A297368/b297368.txt">Table of n, a(n) for n = 1..19</a>
%e Some solutions for n=5
%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0
%e ..0..0..0..1..1. .0..0..0..0..0. .0..0..0..1..0. .0..0..0..0..1
%e ..0..0..0..0..1. .0..0..1..0..1. .1..0..1..0..1. .0..0..0..0..1
%e ..0..1..0..1..0. .0..1..0..0..0. .0..1..1..0..0. .1..1..0..1..0
%e ..0..1..0..0..1. .1..0..1..0..1. .0..1..1..0..1. .1..1..0..1..0
%Y Cf. A297374.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 29 2017