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A219686
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T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array
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13
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3, 3, 3, 6, 4, 6, 10, 8, 9, 10, 15, 14, 31, 19, 15, 21, 22, 87, 99, 35, 21, 28, 32, 208, 427, 269, 60, 28, 36, 44, 452, 1531, 1688, 655, 98, 36, 45, 58, 922, 5031, 8964, 5726, 1506, 154, 45, 55, 74, 1799, 15763, 44736, 44816, 18486, 3356, 234, 55, 66, 92, 3394, 47784
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OFFSET
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1,1
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COMMENTS
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Table starts
..3...3.....6......10........15.........21.........28..........36.........45
..3...4.....8......14........22.........32.........44..........58.........74
..6...9....31......87.......208........452........922........1799.......3394
.10..19....99.....427......1531.......5031......15763.......47784.....140586
.15..35...269....1688......8964......44736.....219216.....1062133....5046678
.21..60...655....5726.....44816.....344926....2709320....21474269..167685059
.28..98..1506...18486....220182....2706117...35011623...461414270.5979059010
.36.154..3356...59458...1116208...22404783..479633094.10451333258
.45.234..7278..189516...5697556..187497531.6609458081
.55.345.15335..589078..28354294.1518906665
.66.495.31362.1771979.135630422
.78.693.62286.5155016
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..1..1..1..1....0..0..0..0....1..1..0..0....1..1..0..0....1..1..1..0
..1..1..1..1....0..0..0..0....1..1..0..0....1..0..0..0....1..1..0..0
..2..1..1..1....1..1..0..0....2..2..0..0....2..0..0..0....2..2..0..0
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CROSSREFS
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Column 1 and row 1 are A000217 for n>1
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KEYWORD
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AUTHOR
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STATUS
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approved
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