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%I #4 Apr 25 2018 12:29:26
%S 4,25,78,230,801,2764,9367,31703,107876,366903,1247178,4239444,
%T 14413593,49004114,166604979,566429535,1925785826,6547430725,
%U 22260469676,75682984684,257313518769,874837061986,2974348729093,10112457309015
%N Number of 3Xn 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Row 3 of A303513.
%H R. H. Hardin, <a href="/A303514/b303514.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -7*a(n-2) -9*a(n-3) +6*a(n-4) -3*a(n-5) +48*a(n-6) +22*a(n-7) -35*a(n-8) -104*a(n-9) -47*a(n-10) +77*a(n-11) +110*a(n-12) -13*a(n-13) -56*a(n-14) +12*a(n-15) for n>16
%e Some solutions for n=5
%e ..0..1..0..1..1. .0..0..1..0..1. .0..1..0..1..0. .0..1..0..1..0
%e ..0..1..1..1..0. .1..1..1..1..1. .0..1..0..0..0. .0..1..0..0..1
%e ..1..0..0..1..0. .1..1..1..1..1. .1..1..0..1..0. .0..1..1..0..0
%Y Cf. A303513.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 25 2018
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