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%I #8 Nov 27 2018 09:09:13
%S 38,150,464,1770,5680,21088,69270,252226,842160,3024532,10215894,
%T 36333498,123729784,437028516,1496890470,5261453226,18095303560,
%U 63384222948,218626027574,763932706666,2640392321080,9210217141124
%N Number of (n+1) X (3+1) 0..1 arrays with every 2 X 2 subblock having a single 1 or two 1s on the same edge.
%H R. H. Hardin, <a href="/A251253/b251253.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 13*a(n-2) - 7*a(n-3) - 32*a(n-4) + 8*a(n-5) + 10*a(n-6).
%F Empirical g.f.: 2*x*(19 + 56*x - 90*x^2 - 189*x^3 + 72*x^4 + 71*x^5) / (1 - x - 13*x^2 + 7*x^3 + 32*x^4 - 8*x^5 - 10*x^6). - _Colin Barker_, Nov 27 2018
%e Some solutions for n=4:
%e ..1..1..0..1....1..1..1..0....1..1..1..1....0..0..0..1....0..0..0..0
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..1..0..1....1..1..0..1
%e ..1..0..1..0....0..1..1..1....0..1..1..1....0..0..0..0....0..0..0..0
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..1..0..1....1..0..1..0
%e ..1..1..0..1....0..1..0..1....1..1..1..0....0..0..0..0....1..0..1..0
%Y Column 3 of A251258.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 01 2014
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