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A229366 Number of n X 2 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

%I A229366 #9 Sep 14 2018 16:12:37
%S A229366 8,38,184,869,4144,19675,93589,444824,2114934,10054148,47798953,
%T A229366 227238276,1080310539,5135871337,24416324712,116077006646,
%U A229366 551838764656,2623482504621,12472231233800,59293915534091,281887688707501
%N A229366 Number of n X 2 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.
%H A229366 R. H. Hardin, <a href="/A229366/b229366.txt">Table of n, a(n) for n = 1..210</a>
%F A229366 Empirical: a(n) = 2*a(n-1) + 13*a(n-2) + 3*a(n-3) - 13*a(n-4) + 4*a(n-5).
%F A229366 Empirical g.f.: x*(8 + 22*x + 4*x^2 - 17*x^3 + 4*x^4) / (1 - 2*x - 13*x^2 - 3*x^3 + 13*x^4 - 4*x^5). - _Colin Barker_, Sep 14 2018
%e A229366 Some solutions for n=4:
%e A229366   1 0   0 0   0 2   2 1   2 1   1 0   2 1   0 1   0 1   0 2
%e A229366   1 0   1 0   0 0   0 2   0 1   1 0   0 0   1 2   0 2   2 0
%e A229366   1 0   1 2   1 0   0 0   0 0   2 0   2 0   1 0   1 0   1 0
%e A229366   1 0   2 0   2 0   1 2   2 0   1 2   1 0   2 2   1 2   2 0
%Y A229366 Column 2 of A229372.
%K A229366 nonn
%O A229366 1,1
%A A229366 _R. H. Hardin_, Sep 21 2013