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%I #4 Feb 07 2013 10:08:55
%S 2,3,4,5,8,13,19,31,50,80,130,210,340,550,890,1440,2328,3760,6082,
%T 9819,15868,25643,41428,66967,108221,174929,282739,456996,738664,
%U 1193914,1929726,3119003,5041195,8147983,13169366,21285314,34403008,55604705
%N Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..7 array extended with zeros and convolved with 1,2,2,1
%C Column 7 of A222111
%H R. H. Hardin, <a href="/A222110/b222110.txt">Table of n, a(n) for n = 1..110</a>
%e Some solutions for n=7, 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....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..0....0....1....0....0....0....0....0....0....0....1....0....0....1....1....0
%e ..1....0....0....0....0....1....1....0....1....1....0....0....0....0....0....0
%e ..0....1....0....1....0....0....0....0....0....0....0....0....0....0....0....1
%e ..0....0....0....0....1....0....0....0....1....0....1....0....0....0....0....0
%e ..1....0....0....1....0....0....0....0....0....0....0....1....0....0....1....0
%e ..0....0....1....0....0....1....0....0....0....0....0....0....0....0....0....1
%e ..0....1....0....0....0....0....1....0....0....0....0....0....1....0....0....0
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 07 2013