cp's OEIS Frontend

A222332 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,1.

%I A222332 #8 Aug 16 2018 08:57:56
%S A222332 2,3,4,7,11,18,29,47,76,123,199,322,521,842,1362,2202,3561,5759,9313,
%T A222332 15061,24356,39388,63697,103009,166583,269393,435654,704526,1139338,
%U A222332 1842502,2979638,4818579,7792458,12601724,20379121,32956489,53296222
%N A222332 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,1.
%C A222332 Column 6 of A222334.
%H A222332 R. H. Hardin, <a href="/A222332/b222332.txt">Table of n, a(n) for n = 1..210</a>
%F A222332 Empirical: a(n) = a(n-1) + a(n-3) + a(n-5) + a(n-7) + a(n-9) + a(n-11) + a(n-13).
%F A222332 Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12) / (1 - x - x^3 - x^5 - x^7 - x^9 - x^11 - x^13). - _Colin Barker_, Aug 16 2018
%e A222332 Some solutions for n=6, one extended zero followed by filtered positions:
%e A222332 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A222332 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A222332 ..0....1....0....0....0....1....1....0....0....0....0....1....0....1....1....0
%e A222332 ..0....0....0....0....1....0....0....0....0....1....0....0....1....0....0....1
%e A222332 ..1....1....1....0....0....0....0....0....0....0....1....1....0....0....1....0
%e A222332 ..0....0....0....0....0....0....0....1....0....1....0....0....0....0....0....0
%e A222332 ..1....0....0....0....1....0....1....0....1....0....0....0....0....0....1....0
%e A222332 ..0....0....1....0....0....0....0....0....0....0....0....1....1....1....0....0
%Y A222332 Cf. A222334.
%K A222332 nonn
%O A222332 1,1
%A A222332 _R. H. Hardin_, Feb 15 2013