%I
%S 2,4,8,15,27,47,80,134,222,364,594,966,1568,2542,4118,6668,10794,
%T 17470,28272,45750,74029,119785,193820,313612,507441,821065,1328522,
%U 2149608,3478157,5627799,9105998,14733846,23839900,38573810,62413783,100987676
%N Number of binary arrays indicating the locations of trailing edge maxima of a random lengthn 0..6 array extended with zeros and convolved with 1,2,1
%C Column 6 of A222043
%H R. H. Hardin, <a href="/A222041/b222041.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=7, one extended zero followed by filtered positions
%e ..1....1....0....0....0....0....1....0....1....1....1....0....1....0....1....1
%e ..0....0....0....0....0....1....0....1....0....0....0....0....0....0....0....0
%e ..0....1....0....0....1....0....1....0....1....1....0....1....0....1....1....0
%e ..0....0....0....1....0....1....0....0....0....0....0....0....1....0....0....0
%e ..1....0....0....0....0....0....0....1....0....0....1....0....0....1....1....1
%e ..0....0....1....1....0....0....1....0....1....0....0....1....0....0....0....0
%e ..1....1....0....0....1....0....0....1....0....0....0....0....0....0....0....0
%e ..0....0....0....1....0....0....1....0....0....0....0....0....0....0....1....0
%e ..1....1....1....0....1....0....0....0....1....1....0....0....1....1....0....1
%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 06 2013
