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A220044 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array 13
4, 4, 10, 10, 13, 20, 20, 25, 59, 35, 35, 50, 184, 181, 56, 56, 90, 848, 927, 469, 84, 84, 152, 2902, 8337, 4415, 1107, 120, 120, 249, 9055, 53266, 74547, 19083, 2447, 165, 165, 397, 26963, 313386, 904715, 595862, 79295, 5120, 220, 220, 618, 76874, 1746346 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
...4.....4......10.......20........35........56........84........120......165
..10....13......25.......50........90.......152.......249........397......618
..20....59.....184......848......2902......9055.....26963......76874...211179
..35...181.....927.....8337.....53266....313386...1746346....9367123.48895966
..56...469....4415....74547....904715..10478150.115306521.1239077832
..84..1107...19083...595862..13639469.310371126
.120..2447...79295..4640546.201839765
.165..5120..321566.35547836
.220.10197.1259568
.286.19415
.364
LINKS
EXAMPLE
Some solutions for n=3 k=4
..2..0..0..0....2..1..0..0....0..0..0..0....2..2..2..2....2..2..0..1
..2..0..0..0....2..1..0..0....0..0..0..0....2..2..1..2....2..1..0..0
..3..2..0..0....2..1..0..1....3..2..2..3....3..2..1..1....2..1..0..0
CROSSREFS
Column 1 is A000292(n+1)
Column 2 is A219572
Row 1 is A000292 for n>1
Sequence in context: A078910 A196051 A140234 * A219828 A219714 A167132
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 03 2012
STATUS
approved

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Last modified June 14 12:37 EDT 2024. Contains 373400 sequences. (Running on oeis4.)