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A222438
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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 1,1,1
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8
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2, 2, 3, 2, 3, 4, 2, 3, 4, 5, 2, 3, 4, 5, 8, 2, 3, 4, 5, 9, 12, 2, 3, 4, 5, 9, 14, 18, 2, 3, 4, 5, 9, 14, 21, 26, 2, 3, 4, 5, 9, 14, 21, 34, 40, 2, 3, 4, 5, 9, 14, 21, 35, 54, 60, 2, 3, 4, 5, 9, 14, 21, 35, 56, 86, 90, 2, 3, 4, 5, 9, 14, 21, 35, 56, 89, 137, 134, 2, 3, 4, 5, 9, 14, 21, 35, 56, 89, 144
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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
....3....3.....3.....3.....3.....3.....3.....3
....4....4.....4.....4.....4.....4.....4.....4
....5....5.....5.....5.....5.....5.....5.....5
....8....9.....9.....9.....9.....9.....9.....9
...12...14....14....14....14....14....14....14
...18...21....21....21....21....21....21....21
...26...34....35....35....35....35....35....35
...40...54....56....56....56....56....56....56
...60...86....89....89....89....89....89....89
...90..137...144...145...145...145...145...145
..134..219...232...234...234...234...234...234
..202..350...374...377...377...377...377...377
..303..558...603...610...611...611...611...611
..454..892...973...986...988...988...988...988
..680.1424..1570..1594..1597..1597..1597..1597
.1021.2273..2532..2577..2584..2585..2585..2585
.1532.3631..4086..4167..4180..4182..4182..4182
.2298.5799..6592..6738..6762..6765..6765..6765
.3447.9261.10635.10894.10939.10946.10947.10947
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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
..1....1....0....1....0....0....0....1....0....1....0....1....0....0....0....0
..0....0....0....0....0....1....1....0....0....0....0....0....1....0....1....0
..0....0....1....0....0....0....0....1....1....1....1....0....0....0....0....0
..0....1....0....0....0....0....0....0....0....0....0....0....1....0....0....0
..0....0....1....0....0....0....1....0....0....1....0....0....0....0....0....0
..1....0....0....0....1....0....0....0....1....0....0....0....0....0....1....0
..0....0....0....0....0....1....0....0....0....0....0....1....0....0....0....1
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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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