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%I #4 Feb 05 2013 09:17:49
%S 2,2,3,2,3,4,2,3,4,6,2,3,4,6,9,2,3,4,7,10,13,2,3,4,7,11,15,19,2,3,4,7,
%T 11,16,23,28,2,3,4,7,11,16,26,36,41,2,3,4,7,11,17,26,41,55,60,2,3,4,7,
%U 11,17,28,42,62,84,88,2,3,4,7,11,17,28,44,65,99,129,129,2,3,4,7,11,17,28,44,70
%N T(n,k)=Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..k array extended with zeros and convolved with 1,3,3,1
%C Table starts
%C ...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2
%C ...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3
%C ...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4
%C ...6...6...7...7...7...7...7...7...7...7...7...7...7...7...7...7...7...7...7
%C ...9..10..11..11..11..11..11..11..11..11..11..11..11..11..11..11..11..11..11
%C ..13..15..16..16..17..17..17..17..17..17..17..17..17..17..17..17..17..17..17
%C ..19..23..26..26..28..28..28..28..28..28..28..28..28..28..28..28..28..28..28
%C ..28..36..41..42..44..44..44..44..44..44..44..44..44..45..45..45..45..45..45
%C ..41..55..62..65..70..70..70..70..70..70..72..72..72..72..72..72..72..72..72
%C ..60..84..99.105.113.113.114.114.114.114.116.116.116.116.116.116.116.116.116
%C ..88.129.156.168.179.179.181.182.182.182.186.186.186.187.187.187.187.189.189
%C .129.198.242.265.286.287.290.293.293.293.302.302.302.302.302.302.302.304.304
%H R. H. Hardin, <a href="/A222027/b222027.txt">Table of n, a(n) for n = 1..962</a>
%e Some solutions for n=7 k=4, 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....1....0....0....0....1....0....1....0....1....0....0....1....0....0....1
%e ..1....0....0....0....0....0....1....0....1....0....0....0....0....0....0....0
%e ..0....1....0....0....1....0....0....0....0....0....1....0....0....1....0....1
%e ..1....0....0....0....0....0....0....0....0....1....0....0....1....0....1....0
%e ..0....0....0....1....0....1....0....0....1....0....0....0....0....1....0....0
%e ..0....0....0....0....0....0....0....1....0....1....1....0....0....0....0....0
%e ..0....0....1....0....1....0....0....0....0....0....0....0....0....0....1....1
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%Y Column 1 is A000930(n+2)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 05 2013
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