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%I #4 Jan 02 2018 12:01:39
%S 8,20,113,374,1657,6548,28645,119531,517534,2230834,9747818,42562432,
%T 186902992,822076283,3625136416,16002387208,70728606718,312843642490,
%U 1384663445151,6131158907181,27157673366295,120323002326873
%N Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 3 neighboring 1s.
%C Row 3 of A297637.
%H R. H. Hardin, <a href="/A297639/b297639.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +a(n-2) -11*a(n-3) +26*a(n-4) -191*a(n-5) -121*a(n-6) +255*a(n-7) -69*a(n-8) +364*a(n-9) +346*a(n-10) -456*a(n-11) +189*a(n-12) -243*a(n-13) -20*a(n-14) -53*a(n-15) -33*a(n-16) -20*a(n-17) -4*a(n-18)
%e Some solutions for n=7
%e ..0..1..1..0..0..0..0. .1..0..1..1..0..0..0. .1..0..0..1..0..0..0
%e ..0..1..1..0..1..1..1. .0..0..1..1..0..0..0. .1..0..0..1..0..1..0
%e ..0..0..0..0..1..1..0. .0..0..1..1..0..0..1. .0..0..0..0..0..0..0
%Y Cf. A297637.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 02 2018
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