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%I #8 Mar 14 2018 12:12:10
%S 2,4,7,12,20,33,53,85,137,221,355,570,915,1468,2353,3772,6049,9703,
%T 15565,24972,40068,64291,103155,165512,265564,426096,683664,1096928,
%U 1760005,2823900,4530894,7269730,11664136,18714867,30027612,48178679,77301700
%N Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..1 array extended with zeros and convolved with -1,2,-1.
%C Column 1 of A222043.
%H R. H. Hardin, <a href="/A222036/b222036.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) - a(n-3) - a(n-5) + a(n-6) + a(n-7) + a(n-8) - 2*a(n-9) - a(n-10) + a(n-11) + a(n-12).
%F Empirical g.f.: x*(2 - x^2 + 2*x^5 + x^6 - x^8 + x^9 + 2*x^10 + x^11) / (1 - 2*x + x^3 + x^5 - x^6 - x^7 - x^8 + 2*x^9 + x^10 - x^11 - x^12). - _Colin Barker_, Mar 14 2018
%e Some solutions for n=7, one extended zero followed by filtered positions:
%e ..1....0....0....1....0....0....1....0....1....1....1....1....0....1....0....0
%e ..0....0....0....0....0....0....0....1....0....0....0....0....1....0....1....0
%e ..1....1....0....1....1....0....1....0....1....1....1....0....0....1....0....1
%e ..0....0....1....0....0....0....0....1....0....0....0....1....0....0....0....0
%e ..1....1....0....1....1....1....1....0....0....0....0....0....1....0....1....0
%e ..0....0....0....0....0....0....0....0....0....0....0....1....0....0....0....1
%e ..1....1....1....0....0....1....0....0....0....0....1....0....1....0....0....0
%e ..0....0....0....0....1....0....0....0....0....1....0....1....0....0....0....1
%e ..0....1....0....1....0....1....0....1....0....0....1....0....1....1....0....0
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%Y Cf. A222043.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 06 2013
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