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%I #4 Aug 12 2018 19:42:32
%S 2,6,14,35,95,257,700,1907,5202,14190,38712,105614,288137,786105,
%T 2144674,5851173,15963362,43551783,118819435,324167181,884403808,
%U 2412860224,6582846451,17959543175,48997829987,133677528403,364703530888
%N Number of nX2 0..1 arrays with every element unequal to 0, 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 2 of A318024.
%H R. H. Hardin, <a href="/A318018/b318018.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) -2*a(n-3) -2*a(n-4) -a(n-6) +a(n-7)
%e Some solutions for n=5
%e ..0..1. .0..0. .0..1. .0..0. .0..0. .0..1. .0..1. .0..0. .0..0. .0..0
%e ..1..1. .0..1. .1..0. .1..1. .1..1. .1..1. .1..1. .0..1. .0..0. .0..1
%e ..0..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .0..0. .0..0. .1..1
%e ..1..1. .1..1. .0..1. .0..0. .1..0. .0..0. .1..1. .1..0. .0..0. .0..1
%e ..1..1. .1..1. .1..1. .0..1. .1..1. .0..1. .1..0. .0..0. .0..1. .1..0
%Y Cf. A318024.
%K nonn
%O 1,1
%A _R. H. Hardin_, Aug 12 2018