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%I #8 Feb 24 2018 09:25:59
%S 126,250,496,984,1952,3872,7680,15234,30218,59940,118896,235840,
%T 467808,927936,1840638,3651058,7242176,14365456,28495072,56522336,
%U 112116736,222392834,441134610,875027044,1735688632,3442882192,6829242048
%N Number of length n+6 0..1 arrays with no seven consecutive terms having four times the sum of any three elements equal to three times the sum of the remaining four.
%C Column 1 of A249197.
%H R. H. Hardin, <a href="/A249190/b249190.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) + a(n-6).
%F Empirical g.f.: 2*x*(63 + 62*x + 60*x^2 + 56*x^3 + 48*x^4 + 32*x^5) / (1 - x - x^2 - x^3 - x^4 - x^5 - x^6). - _Colin Barker_, Feb 24 2018
%e Some solutions for n=6:
%e ..0....0....1....0....1....1....1....0....0....0....0....1....1....0....0....0
%e ..1....1....0....1....1....1....1....0....0....1....1....0....1....1....1....0
%e ..0....0....0....1....1....0....0....1....1....0....1....1....1....0....1....1
%e ..1....0....0....1....0....1....1....0....0....1....1....1....1....0....1....1
%e ..0....1....1....0....0....1....0....1....1....0....1....0....1....1....1....0
%e ..0....1....0....0....1....1....1....0....0....0....0....1....1....0....1....1
%e ..0....1....1....0....1....1....0....1....1....0....0....0....0....0....0....1
%e ..1....1....0....1....0....1....1....1....0....0....0....1....1....0....1....1
%e ..1....0....0....1....1....0....0....1....0....1....1....0....1....0....1....0
%e ..0....0....0....1....0....0....1....0....0....1....1....1....1....0....0....1
%e ..0....1....0....1....1....0....0....1....1....1....1....0....1....1....0....0
%e ..1....0....1....1....1....1....0....1....0....0....0....0....0....0....0....1
%Y Cf. A249197.
%K nonn
%O 1,1
%A _R. H. Hardin_, Oct 23 2014
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