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%I #4 Jan 05 2018 15:55:54
%S 3,19,66,230,1142,4344,16384,72571,287634,1123621,4738249,19071326,
%T 75863351,312927750,1266297842,5084565886,20767078273,84172477515,
%U 339590131480,1380949668138,5599122353424,22643152450182,91903294604361
%N Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 3 or 4 neighboring 1s.
%C Column 3 of A297749.
%H R. H. Hardin, <a href="/A297744/b297744.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +46*a(n-3) -97*a(n-4) -5*a(n-5) -406*a(n-6) +458*a(n-7) -219*a(n-8) +686*a(n-9) -458*a(n-10) +566*a(n-11) +308*a(n-12) -860*a(n-13) +240*a(n-14)
%e Some solutions for n=7
%e ..1..0..1. .0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..0. .0..1..0
%e ..1..1..1. .0..0..0. .1..0..0. .0..1..0. .0..0..1. .1..0..0. .0..1..1
%e ..0..0..0. .1..0..1. .1..0..1. .0..0..1. .1..1..0. .1..1..1. .0..1..0
%e ..0..0..0. .1..1..0. .0..1..0. .1..0..1. .0..0..1. .0..0..0. .0..0..0
%e ..1..0..1. .1..0..0. .1..0..0. .1..1..1. .0..0..1. .0..0..0. .1..0..1
%e ..0..1..0. .0..0..0. .0..0..1. .0..0..0. .1..1..0. .0..1..0. .1..1..0
%e ..0..0..1. .1..1..0. .1..1..1. .0..0..0. .1..0..1. .0..0..1. .0..0..1
%Y Cf. A297749.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 05 2018
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