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A229406 Number of n X 2 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

%I A229406 #8 Sep 15 2018 05:30:04
%S A229406 15,163,1756,18712,199595,2127718,22684613,241841143,2578301479,
%T A229406 27487534672,293047669224,3124213038091,33307577031714,
%U A229406 355095715688893,3785714221110283,40359912854042611,430281439964832908
%N A229406 Number of n X 2 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.
%H A229406 R. H. Hardin, <a href="/A229406/b229406.txt">Table of n, a(n) for n = 1..210</a>
%F A229406 Empirical: a(n) = 10*a(n-1) + 13*a(n-2) - 67*a(n-3) + 38*a(n-4) - 2*a(n-5).
%F A229406 Empirical g.f.: x*(15 + 13*x - 69*x^2 + 38*x^3 - 2*x^4) / (1 - 10*x - 13*x^2 + 67*x^3 - 38*x^4 + 2*x^5). - _Colin Barker_, Sep 15 2018
%e A229406 Some solutions for n=3:
%e A229406 ..3..3....3..2....2..3....3..3....1..0....0..2....1..0....1..0....0..2....3..3
%e A229406 ..2..2....3..0....1..2....2..0....3..0....3..3....3..2....1..0....1..3....1..3
%e A229406 ..1..0....0..1....1..3....3..3....3..0....1..2....2..3....3..1....2..0....0..1
%Y A229406 Column 2 of A229412.
%K A229406 nonn
%O A229406 1,1
%A A229406 _R. H. Hardin_, Sep 22 2013