%I
%S 2,3,4,7,11,18,29,46,74,118,189,303,485,777,1244,1992,3190,5108,8180,
%T 13099,20976,33590,53789,86135,137932,220877,353701,566398,907000,
%U 1452422,2325832,3724465,5964162,9550695,15293980,24490974,39218556
%N Number of binary arrays indicating the locations of trailing edge maxima of a random lengthn 0..3 array extended with zeros and convolved with 1,1.
%C Column 3 of A222334.
%H R. H. Hardin, <a href="/A222329/b222329.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n1) + a(n3) + a(n5) + a(n7).
%F Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6) / (1  x  x^3  x^5  x^7).  _Colin Barker_, Mar 15 2018
%e Some solutions for n=6, one extended zero followed by filtered positions:
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..0....1....0....1....1....1....1....0....0....0....0....0....0....1....0....0
%e ..0....0....0....0....0....0....0....0....1....0....1....0....1....0....1....0
%e ..0....1....1....1....0....0....0....0....0....1....0....1....0....0....0....0
%e ..1....0....0....0....0....1....0....0....0....0....1....0....0....0....0....0
%e ..0....1....0....0....0....0....1....0....0....1....0....0....1....0....0....0
%e ..0....0....1....1....0....0....0....0....0....0....0....0....0....1....1....1
%Y Cf. A222334.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 15 2013
