cp's OEIS Frontend

A222331 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,1.

%I A222331 #8 Aug 15 2018 12:38:51
%S A222331 2,3,4,7,11,18,29,47,76,123,199,321,519,838,1354,2188,3535,5712,9229,
%T A222331 14912,24094,38930,62901,101632,164212,265325,428699,692670,1119181,
%U A222331 1808316,2921785,4720872,7627745,12324523,19913338,32174960,51986666
%N A222331 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,1.
%C A222331 Column 5 of A222334.
%H A222331 R. H. Hardin, <a href="/A222331/b222331.txt">Table of n, a(n) for n = 1..210</a>
%F A222331 Empirical: a(n) = a(n-1) + a(n-3) + a(n-5) + a(n-7) + a(n-9) + a(n-11).
%F A222331 Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10) / (1 - x - x^3 - x^5 - x^7 - x^9 - x^11). - _Colin Barker_, Aug 15 2018
%e A222331 Some solutions for n=6, one extended zero followed by filtered positions:
%e A222331 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A222331 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A222331 ..0....1....0....1....1....1....0....0....0....0....0....0....1....1....1....0
%e A222331 ..1....0....1....0....0....0....0....0....0....1....0....0....0....0....0....0
%e A222331 ..0....1....0....1....0....0....0....1....1....0....0....1....0....1....0....0
%e A222331 ..0....0....1....0....1....0....0....0....0....0....1....0....0....0....0....0
%e A222331 ..0....1....0....0....0....1....0....0....1....1....0....0....0....0....0....1
%e A222331 ..0....0....0....1....0....0....0....1....0....0....0....0....0....0....1....0
%Y A222331 Cf. A222334.
%K A222331 nonn
%O A222331 1,1
%A A222331 _R. H. Hardin_, Feb 15 2013