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%I #4 Apr 05 2018 09:34:58
%S 3,11,13,33,58,153,336,937,2449,6560,18488,52053,147896,425764,
%T 1229112,3561761,10353391,30135225,87835075,256217794,747737289,
%U 2183170380,6375689391,18622164403,54399493814,158924553086,464309179701
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A302309.
%H R. H. Hardin, <a href="/A302304/b302304.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +13*a(n-3) -23*a(n-4) +13*a(n-5) -42*a(n-6) +25*a(n-7) -21*a(n-8) -36*a(n-9) +48*a(n-10) -24*a(n-11) +8*a(n-12) +32*a(n-13) for n>16
%e Some solutions for n=5
%e ..0..1..0. .0..1..0. .0..1..1. .0..1..0. .0..1..0. .0..0..1. .0..1..0
%e ..1..1..0. .0..1..0. .1..0..1. .1..1..0. .0..1..0. .0..1..0. .1..1..0
%e ..1..1..1. .0..1..0. .0..0..0. .0..1..0. .1..1..0. .1..1..1. .1..1..1
%e ..1..1..0. .0..1..1. .0..0..1. .0..1..0. .0..1..0. .0..1..1. .0..1..0
%e ..0..1..0. .0..1..0. .1..0..1. .1..0..0. .0..0..0. .0..1..0. .1..0..0
%Y Cf. A302309.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 05 2018
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