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A207456 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically. 1

%I

%S 10,100,270,1450,5200,23530,92610,396100,1610950,6754210,27799200,

%T 115710130,478341370,1985702500,8222193630,34098329530,141276194800,

%U 585672013210,2427100765650,10060368444100,41694947333590

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

%C Row 5 of A207453.

%H R. H. Hardin, <a href="/A207456/b207456.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 13*a(n-2) + 4*a(n-3) - 16*a(n-4).

%F Empirical g.f.: 10*x*(1 + 9*x + 4*x^2 - 16*x^3) / (1 - x - 13*x^2 - 4*x^3 + 16*x^4). - _Colin Barker_, Jun 23 2018

%e Some solutions for n=5:

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

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

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

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

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

%Y Cf. A207453.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2012

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Last modified May 16 11:35 EDT 2022. Contains 353704 sequences. (Running on oeis4.)