%I #7 May 06 2014 00:56:53
%S 2,4,8,15,27,47,80,134,222,365,597,973,1582,2568,4163,6744,10921,
%T 17681,28621,46325,74974,121333,196348,317730,514136,831934,1346149,
%U 2178174,3524427,5702718,9227274,14930134,24157566,39087878,63245647,102333759
%N Number of binary arrays indicating the locations of trailing edge maxima of a random lengthn 0..7 array extended with zeros and convolved with 1,2,1.
%C Column 7 of A222153.
%H R. H. Hardin, <a href="/A222152/b222152.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 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..0....1....1....0....1....0....0....1....0....1....0....1....0....1....0....0
%e ..1....0....0....1....0....0....0....0....1....0....0....0....0....0....0....0
%e ..0....0....1....0....0....0....0....0....0....0....0....1....0....1....1....0
%e ..0....1....0....1....0....1....0....1....1....1....0....0....1....0....0....1
%e ..0....0....1....0....0....0....1....0....0....0....0....0....0....0....0....0
%e ..1....1....0....0....1....0....0....0....1....0....0....0....0....0....0....1
%e ..0....0....1....0....0....1....1....0....0....1....1....0....0....0....0....0
%e ..0....0....0....1....1....0....0....1....0....0....0....0....0....1....1....0
%e ..0....0....0....0....0....1....1....0....0....1....1....1....1....0....0....1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 09 2013
