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A222027
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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
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7
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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, 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, 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
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OFFSET
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1,1
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COMMENTS
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Table starts
...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2
...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3
...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4
...6...6...7...7...7...7...7...7...7...7...7...7...7...7...7...7...7...7...7
...9..10..11..11..11..11..11..11..11..11..11..11..11..11..11..11..11..11..11
..13..15..16..16..17..17..17..17..17..17..17..17..17..17..17..17..17..17..17
..19..23..26..26..28..28..28..28..28..28..28..28..28..28..28..28..28..28..28
..28..36..41..42..44..44..44..44..44..44..44..44..44..45..45..45..45..45..45
..41..55..62..65..70..70..70..70..70..70..72..72..72..72..72..72..72..72..72
..60..84..99.105.113.113.114.114.114.114.116.116.116.116.116.116.116.116.116
..88.129.156.168.179.179.181.182.182.182.186.186.186.187.187.187.187.189.189
.129.198.242.265.286.287.290.293.293.293.302.302.302.302.302.302.302.304.304
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LINKS
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EXAMPLE
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Some solutions for n=7 k=4, one extended zero followed by filtered positions
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....1....0....0....0....1....0....1....0....1....0....0....1....0....0....1
..1....0....0....0....0....0....1....0....1....0....0....0....0....0....0....0
..0....1....0....0....1....0....0....0....0....0....1....0....0....1....0....1
..1....0....0....0....0....0....0....0....0....1....0....0....1....0....1....0
..0....0....0....1....0....1....0....0....1....0....0....0....0....1....0....0
..0....0....0....0....0....0....0....1....0....1....1....0....0....0....0....0
..0....0....1....0....1....0....0....0....0....0....0....0....0....0....1....1
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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