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A300203 Number of n X 3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%I A300203 #14 Jun 21 2018 05:43:34
%S A300203 4,32,248,1933,15070,117494,916061,7142233,55685704,434163629,
%T A300203 3385035032,26392036123,205770269515,1604325017633,12508409345459,
%U A300203 97524069396190,760363995846334,5928315027859268,46221177306565661,360371745017815198
%N A300203 Number of n X 3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C A300203 Column 3 of A300208.
%H A300203 R. H. Hardin, <a href="/A300203/b300203.txt">Table of n, a(n) for n = 1..210</a>
%H A300203 Simon Plouffe, <a href="http://vixra.org/abs/1409.0048"> Conjectures of the OEIS, as of June 20, 2018.</a>
%F A300203 Empirical: a(n) = 8*a(n-1) - 2*a(n-2) + 5*a(n-3) - 13*a(n-4) - 6*a(n-5).
%F A300203 Empirical g.f.: -x*(-6*x^4-7*x^3+4)/(-6*x^5-13*x^4+5*x^3-2*x^2+8*x-1). - _Simon Plouffe_, Jun 20 2018
%e A300203 Some solutions for n=5;
%e A300203   0 1 0    0 0 1    0 1 1    0 0 1    0 0 0    0 1 0    0 0 1
%e A300203   1 0 0    0 1 1    1 0 1    1 0 0    1 1 0    0 0 1    0 1 0
%e A300203   0 1 1    0 0 0    1 0 0    0 1 0    1 1 0    0 1 0    0 0 1
%e A300203   1 1 1    0 1 1    1 1 1    1 0 0    0 0 1    1 0 1    0 0 0
%e A300203   0 0 0    0 0 1    0 0 1    0 0 1    0 0 0    0 1 1    0 0 1
%Y A300203 Cf. A300208.
%K A300203 nonn
%O A300203 1,1
%A A300203 _R. H. Hardin_, Feb 28 2018