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

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

R. H. Hardin, Table of n, a(n) for n = 1..84

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

Adjacent sequences: A220007 A220008 A220009 * A220011 A220012 A220013

Keyword

nonn,tabl

Author

R. H. Hardin Dec 03 2012

Status

approved