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 A208503 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically. 1

%I #8 Jul 03 2018 16:57:43

%S 13,169,234,650,1794,4992,13806,38376,106236,295074,817362,2269098,

%T 6288048,17450550,48371544,134210700,372088314,1032237882,2862135666,

%U 7939298016,22015398366,61064779464,169339275612,469681757298

%N Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically.

%C Row 5 of A208501.

%H R. H. Hardin, <a href="/A208503/b208503.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 6*a(n-2) - 3*a(n-3) for n>5.

%F Empirical g.f.: 13*x*(1 + 12*x - x^2 - 43*x^3 + 19*x^4) / (1 - x - 6*x^2 + 3*x^3). - _Colin Barker_, Jul 03 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Cf. A208501.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 27 2012

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Last modified December 6 19:52 EST 2023. Contains 367614 sequences. (Running on oeis4.)