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A207591 Number of 4 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 1 vertically. 1

%I

%S 9,81,144,432,1098,3150,8244,23202,61560,171468,458640,1269144,

%T 3412944,9402156,25378560,69694632,188620632,516830904,1401394608,

%U 3833746488,10409369472,28443841344,77305743936,211065666624,574042728672

%N Number of 4 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 1 vertically.

%C Row 4 of A207589.

%H R. H. Hardin, <a href="/A207591/b207591.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-2) + 2*a(n-3) - 10*a(n-4) + 2*a(n-6) for n>8.

%F Empirical g.f.: 9*x*(1 - x)*(1 + 10*x + 18*x^2 - 8*x^3 - 22*x^4 + 2*x^5 + 4*x^6) / (1 - 8*x^2 - 2*x^3 + 10*x^4 - 2*x^6). - _Colin Barker_, Jun 24 2018

%e Some solutions for n=4:

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

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

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

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

%Y Cf. A207589.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 19 2012

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Last modified September 28 19:16 EDT 2021. Contains 347717 sequences. (Running on oeis4.)