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A220010
T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array
14
4, 4, 4, 10, 7, 10, 20, 19, 20, 20, 35, 43, 109, 58, 35, 56, 85, 479, 560, 141, 56, 84, 154, 1735, 4474, 2410, 308, 84, 120, 263, 5686, 29055, 32959, 9094, 637, 120, 165, 431, 17525, 172143, 381745, 204056, 32575, 1271, 165, 220, 685, 51891, 983187, 4135362
OFFSET
1,1
COMMENTS
Table starts
...4....4......10.......20........35.........56.........84.........120
...4....7......19.......43........85........154........263.........431
..10...20.....109......479......1735.......5686......17525.......51891
..20...58.....560.....4474.....29055.....172143.....983187.....5489377
..35..141....2410....32959....381745....4135362...44269383...470121602
..56..308....9094...204056...4176405...83856137.1708594026.34797091227
..84..637...32575..1209492..45252407.1728522691
.120.1271..114987..7316891.519542824
.165.2460..396917.44430342
.220.4624.1315916
.286.8444
.364
LINKS
EXAMPLE
Some solutions for n=3 k=4
..2..1..1..1....1..1..1..1....2..1..1..1....3..2..0..0....2..1..0..0
..2..1..1..1....1..1..1..1....2..0..0..1....3..2..0..0....2..0..0..0
..3..2..1..1....3..3..1..1....0..0..0..1....3..3..3..3....3..0..0..0
CROSSREFS
Column and Row 1 are A000292 for n>1
Sequence in context: A219802 A219460 A347433 * A190717 A220204 A035618
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 03 2012
STATUS
approved