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A222330 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,1.

%I A222330 #8 Aug 15 2018 12:38:45
%S A222330 2,3,4,7,11,18,29,47,76,122,197,317,511,824,1328,2141,3451,5563,8967,
%T A222330 14454,23299,37556,60538,97583,157297,253552,408708,658809,1061954,
%U A222330 1711796,2759296,4447793,7169533,11556788,18628738,30028229,48403415
%N A222330 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,1.
%C A222330 Column 4 of A222334.
%H A222330 R. H. Hardin, <a href="/A222330/b222330.txt">Table of n, a(n) for n = 1..210</a>
%F A222330 Empirical: a(n) = a(n-1) + a(n-3) + a(n-5) + a(n-7) + a(n-9).
%F A222330 Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8) / (1 - x - x^3 - x^5 - x^7 - x^9). - _Colin Barker_, Aug 15 2018
%e A222330 Some solutions for n=6, one extended zero followed by filtered positions:
%e A222330 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A222330 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A222330 ..1....1....1....1....0....0....0....0....0....1....0....0....0....1....0....0
%e A222330 ..0....0....0....0....1....0....0....0....0....0....1....0....1....0....1....0
%e A222330 ..0....1....1....1....0....1....0....1....1....0....0....0....0....0....0....0
%e A222330 ..0....0....0....0....0....0....0....0....0....1....0....0....1....0....0....1
%e A222330 ..1....0....1....0....1....1....0....0....0....0....0....1....0....0....0....0
%e A222330 ..0....1....0....0....0....0....0....0....1....0....1....0....0....0....0....0
%Y A222330 Cf. A222334.
%K A222330 nonn
%O A222330 1,1
%A A222330 _R. H. Hardin_, Feb 15 2013