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A219714 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 14
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
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
LINKS
EXAMPLE
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
CROSSREFS
Column 1 is A000292(n+1)
Row 1 is A000292 for n>1
Sequence in context: A140234 A220044 A219828 * A167132 A168326 A101256
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 26 2012
STATUS
approved

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Last modified July 25 01:41 EDT 2024. Contains 374585 sequences. (Running on oeis4.)