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%I #4 Apr 08 2018 10:13:03
%S 1,14,49,250,1147,5486,25599,121626,572657,2702270,12758927,60200726,
%T 284075917,1340774674,6327058239,29858586774,140911377557,
%U 664983975698,3138197357535,14809850612998,69890644606749,329828551233330
%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A302472.
%H R. H. Hardin, <a href="/A302467/b302467.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +9*a(n-2) +15*a(n-3) -68*a(n-4) -132*a(n-5) +96*a(n-6) +136*a(n-7) -34*a(n-8) -276*a(n-9) +188*a(n-10) -8*a(n-11) +32*a(n-12) -16*a(n-13) +64*a(n-14)
%e Some solutions for n=5
%e ..0..0..0. .0..0..0. .0..1..1. .0..0..0. .0..1..1. .0..0..1. .0..0..1
%e ..0..1..1. .1..0..1. .1..0..1. .1..1..0. .0..0..0. .1..1..0. .0..1..0
%e ..0..0..1. .1..1..1. .1..1..1. .0..0..1. .1..1..1. .0..1..1. .1..1..1
%e ..0..0..1. .1..1..0. .1..0..0. .0..0..1. .0..1..0. .1..0..0. .0..1..1
%e ..0..1..1. .0..0..0. .0..0..0. .1..1..1. .0..0..1. .0..1..1. .0..0..0
%Y Cf. A302472.
%K nonn
%O 1,2
%A _R. H. Hardin_, Apr 08 2018
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