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A220204 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array 14
4, 4, 4, 10, 10, 10, 20, 36, 38, 20, 35, 89, 238, 103, 35, 56, 182, 956, 1013, 245, 56, 84, 333, 3294, 6855, 3916, 547, 84, 120, 567, 10762, 42338, 44886, 15067, 1168, 120, 165, 918, 33804, 264239, 527350, 303148, 58288, 2395, 165, 220, 1431, 101396, 1594229 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
...4.....4......10.......20.........35.........56.........84.........120
...4....10......36.......89........182........333........567.........918
..10....38.....238......956.......3294......10762......33804......101396
..20...103....1013.....6855......42338.....264239....1594229.....8996095
..35...245....3916....44886.....527350....6316576...70265746...722552145
..56...547...15067...303148....6896106..154837661.3139823062.59609805010
..84..1168...58288..2089805...89707755.3725275252
.120..2395..218422.14021160.1115147627
.165..4724..773169.88828793
.220..8982.2583728
.286.16504
.364
LINKS
EXAMPLE
Some solutions for n=3 k=4
..2..2..0..0....2..2..2..2....1..1..0..0....2..0..0..0....0..0..0..0
..2..2..2..0....3..2..2..2....1..1..0..0....3..2..0..0....2..0..0..0
..3..3..2..2....3..3..3..2....3..3..0..0....3..3..1..1....3..3..1..0
CROSSREFS
Column and Row 1 are A000292 for n>1
Sequence in context: A347433 A220010 A190717 * A035618 A220931 A219578
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 07 2012
STATUS
approved

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Last modified April 21 04:54 EDT 2024. Contains 371850 sequences. (Running on oeis4.)