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A219714
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T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array
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14
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4, 4, 10, 10, 13, 20, 20, 45, 44, 35, 35, 125, 297, 129, 56, 56, 283, 1751, 1860, 338, 84, 84, 561, 7862, 23506, 9674, 813, 120, 120, 1030, 30452, 223069, 245205, 46026, 1822, 165, 165, 1776, 106421, 1797459, 4745284, 2326019, 207161, 3840, 220, 220, 2916
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OFFSET
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1,1
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COMMENTS
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Table starts
...4.....4.......10..........20...........35............56............84
..10....13.......45.........125..........283...........561..........1030
..20....44......297........1751.........7862.........30452........106421
..35...129.....1860.......23506.......223069.......1797459......13042996
..56...338.....9674......245205......4745284......79167008....1202223210
..84...813....46026.....2326019.....90220424....3084196884...97254386205
.120..1822...207161....21036433...1658836014..118470103282.7921920681423
.165..3840...881386...180509639..29601803957.4513018690558
.220..7665..3529403..1458287494.504486635692
.286.14578.13308249.11082376729
.364.26557.47441049
.455.46556
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..2..2..2..2....2..0..0..0....1..1..0..0....2..2..0..0....1..1..1..1
..2..2..2..2....0..0..0..3....1..1..0..0....2..1..0..0....1..1..1..0
..2..2..2..3....0..2..2..2....2..2..0..2....2..1..0..3....3..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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