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%I #4 Dec 29 2017 07:42:30
%S 8,64,393,2610,17534,116932,780273,5208625,34766566,232057199,
%T 1548927048,10338725586,69008547401,460615729223,3074501104943,
%U 20521568044920,136976615067040,914286522252373,6102646385561049,40733721869556036
%N Number of 3Xn 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0, 1 or 2 neighboring 1s.
%C Row 3 of A297374.
%H R. H. Hardin, <a href="/A297376/b297376.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +5*a(n-2) +36*a(n-3) +27*a(n-4) +55*a(n-5) -9*a(n-6) -9*a(n-7) -49*a(n-8) -8*a(n-9) +21*a(n-10) +a(n-11) -2*a(n-12) for n>14
%e Some solutions for n=5
%e ..0..1..1..1..1. .0..1..0..0..1. .0..0..1..1..1. .1..0..1..1..1
%e ..1..0..0..1..0. .1..1..0..0..1. .0..0..0..1..0. .0..0..0..0..0
%e ..1..1..1..0..0. .0..0..1..1..0. .0..0..1..1..0. .1..1..0..0..0
%Y Cf. A297374.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 29 2017
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