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%I #4 Feb 07 2013 10:09:35
%S 2,2,3,2,3,4,2,3,4,5,2,3,4,5,7,2,3,4,5,8,10,2,3,4,5,8,12,14,2,3,4,5,8,
%T 13,17,19,2,3,4,5,8,13,19,24,26,2,3,4,5,8,13,19,30,36,36,2,3,4,5,8,13,
%U 19,31,48,53,50,2,3,4,5,8,13,19,31,50,75,76,69,2,3,4,5,8,13,19,31,50,80,116
%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 1,2,2,1
%C Table starts
%C ..2...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...3
%C ..4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4
%C ..5...5...5...5...5...5...5...5...5...5...5...5...5...5...5...5...5...5...5...5
%C ..7...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8
%C .10..12..13..13..13..13..13..13..13..13..13..13..13..13..13..13..13..13..13..13
%C .14..17..19..19..19..19..19..19..19..19..19..19..19..19..19..19..19..19..19..19
%C .19..24..30..31..31..31..31..31..31..31..31..31..31..31..31..31..31..31..31..31
%C .26..36..48..50..50..50..50..50..50..50..50..50..50..50..50..50..50..50..50..50
%C .36..53..75..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80
%C .50..76.116.129.130.130.130.130.130.130.130.130.130.130.130.130.130.130.130.130
%C .69.109.186.205.208.210.210.210.210.210.210.210.210.210.210.210.210.210.210.210
%H R. H. Hardin, <a href="/A222111/b222111.txt">Table of n, a(n) for n = 1..841</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....0....0....0....0....0....0....0....1....1....0....1....0....1....0....0
%e ..0....1....1....0....0....0....0....0....0....0....1....0....0....0....0....0
%e ..0....0....0....1....0....0....0....1....0....0....0....0....1....0....1....0
%e ..1....0....0....0....0....0....0....0....0....0....1....1....0....0....0....0
%e ..0....0....1....0....0....0....0....0....0....0....0....0....1....1....0....1
%e ..0....1....0....0....0....1....0....0....0....0....0....0....0....0....1....0
%e ..0....0....0....0....1....0....0....1....0....1....0....0....0....0....0....0
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%Y Column 1 is A003269(n+4)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 07 2013