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%I #4 Dec 15 2017 21:13:38
%S 7,31,135,616,2782,12544,56646,255699,1154239,5210459,23520746,
%T 106176061,479294501,2163605794,9766834956,44088930859,199023922776,
%U 898423280994,4055614926483,18307642707131,82643393810855,373064443621418
%N Number of nX3 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 1 or 3 neighboring 1s.
%C Column 3 of A296578.
%H R. H. Hardin, <a href="/A296573/b296573.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +9*a(n-2) +11*a(n-3) -2*a(n-4) -a(n-5) +10*a(n-6) +2*a(n-7) -29*a(n-8) -16*a(n-9) +27*a(n-10) +7*a(n-11) -12*a(n-12) -a(n-13) +2*a(n-14)
%e Some solutions for n=5
%e ..0..1..1. .1..0..0. .0..0..1. .0..0..0. .1..0..0. .0..0..0. .1..0..0
%e ..0..0..0. .0..0..0. .0..1..0. .1..0..0. .1..0..0. .0..0..1. .0..1..0
%e ..0..0..0. .1..0..1. .0..0..0. .1..0..0. .0..1..0. .0..0..0. .0..1..1
%e ..0..1..0. .1..0..0. .0..0..1. .0..0..0. .0..1..0. .0..0..1. .1..0..0
%e ..1..0..0. .0..0..1. .0..0..1. .0..1..0. .0..0..0. .1..0..1. .0..1..0
%Y Cf. A296578.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2017
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