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A222329 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,1.

%I A222329 #9 Mar 15 2018 05:21:37
%S A222329 2,3,4,7,11,18,29,46,74,118,189,303,485,777,1244,1992,3190,5108,8180,
%T A222329 13099,20976,33590,53789,86135,137932,220877,353701,566398,907000,
%U A222329 1452422,2325832,3724465,5964162,9550695,15293980,24490974,39218556
%N A222329 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,1.
%C A222329 Column 3 of A222334.
%H A222329 R. H. Hardin, <a href="/A222329/b222329.txt">Table of n, a(n) for n = 1..210</a>
%F A222329 Empirical: a(n) = a(n-1) + a(n-3) + a(n-5) + a(n-7).
%F A222329 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 A222329 Some solutions for n=6, one extended zero followed by filtered positions:
%e A222329 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A222329 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A222329 ..0....1....0....1....1....1....1....0....0....0....0....0....0....1....0....0
%e A222329 ..0....0....0....0....0....0....0....0....1....0....1....0....1....0....1....0
%e A222329 ..0....1....1....1....0....0....0....0....0....1....0....1....0....0....0....0
%e A222329 ..1....0....0....0....0....1....0....0....0....0....1....0....0....0....0....0
%e A222329 ..0....1....0....0....0....0....1....0....0....1....0....0....1....0....0....0
%e A222329 ..0....0....1....1....0....0....0....0....0....0....0....0....0....1....1....1
%Y A222329 Cf. A222334.
%K A222329 nonn
%O A222329 1,1
%A A222329 _R. H. Hardin_, Feb 15 2013