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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. 1

%I

%S 4,32,248,1933,15070,117494,916061,7142233,55685704,434163629,

%T 3385035032,26392036123,205770269515,1604325017633,12508409345459,

%U 97524069396190,760363995846334,5928315027859268,46221177306565661,360371745017815198

%N 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 Column 3 of A300208.

%H R. H. Hardin, <a href="/A300203/b300203.txt">Table of n, a(n) for n = 1..210</a>

%H Simon Plouffe, <a href="http://vixra.org/abs/1409.0048"> Conjectures of the OEIS, as of June 20, 2018.</a>

%F Empirical: a(n) = 8*a(n-1) - 2*a(n-2) + 5*a(n-3) - 13*a(n-4) - 6*a(n-5).

%F 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 Some solutions for n=5;

%e 0 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1

%e 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0

%e 0 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 0 1

%e 1 1 1 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0

%e 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1

%Y Cf. A300208.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 28 2018

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Last modified September 19 08:05 EDT 2021. Contains 347556 sequences. (Running on oeis4.)