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%I #4 Apr 15 2018 10:35:06
%S 4,6,17,35,72,241,722,1821,4863,14841,43444,119306,335624,985356,
%T 2849009,8044468,22928355,66336411,190801483,543986757,1556622000,
%U 4478561650,12855871827,36783013974,105393294206,302583744944,867943015259
%N Number of 3Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Row 3 of A302877.
%H R. H. Hardin, <a href="/A302878/b302878.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +3*a(n-2) +2*a(n-3) +36*a(n-4) -22*a(n-5) -100*a(n-6) -5*a(n-7) -280*a(n-8) +97*a(n-9) +725*a(n-10) -111*a(n-11) +481*a(n-12) -72*a(n-13) -1160*a(n-14) +511*a(n-15) +19*a(n-16) +9*a(n-17) +24*a(n-18) -10*a(n-19) -a(n-20) for n>21
%e Some solutions for n=5
%e ..0..1..1..1..0. .0..1..0..0..0. .0..1..0..1..0. .0..1..0..1..1
%e ..0..1..0..1..0. .1..1..0..1..0. .0..1..0..1..0. .0..1..0..0..0
%e ..0..1..0..1..0. .0..1..0..1..0. .0..1..0..0..0. .0..1..1..1..0
%Y Cf. A302877.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 15 2018
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