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A208558 Number of 6 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 1 vertically.

%I A208558 #9 Jul 04 2018 10:46:32
%S A208558 16,256,784,5776,25600,150544,753424,4129024,21492496,115175824,
%T A208558 607129600,3230330896,17097131536,90759997696,480986635024,
%U A208558 2551443960976,13527095526400,71739070491664,380392441337104,2017207032035584
%N A208558 Number of 6 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C A208558 Row 6 of A208555.
%H A208558 R. H. Hardin, <a href="/A208558/b208558.txt">Table of n, a(n) for n = 1..210</a>
%F A208558 Empirical: a(n) = 4*a(n-1) +12*a(n-2) -27*a(n-3).
%F A208558 Empirical g.f.: 16*x*(1 + 12*x - 27*x^2) / ((1 + 3*x)*(1 - 7*x + 9*x^2)). - _Colin Barker_, Jul 04 2018
%e A208558 Some solutions for n=4:
%e A208558 ..0..1..0..1....0..1..1..1....1..0..1..0....1..0..1..0....0..1..0..0
%e A208558 ..0..1..0..0....1..1..0..1....1..1..0..1....1..1..1..1....0..1..1..1
%e A208558 ..0..1..0..1....0..1..0..1....1..0..1..0....1..0..1..0....0..1..0..0
%e A208558 ..0..1..0..0....1..1..0..1....1..1..0..0....1..1..1..1....0..1..1..1
%e A208558 ..0..1..0..1....0..1..0..1....1..0..1..0....1..0..1..0....0..1..0..0
%e A208558 ..0..1..0..0....0..1..0..0....0..1..0..0....1..0..1..0....0..1..1..0
%Y A208558 Cf. A208555.
%K A208558 nonn
%O A208558 1,1
%A A208558 _R. H. Hardin_, Feb 28 2012