|
|
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
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|