A219828 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 columns, 0..3 nXk array

4, 4, 10, 10, 13, 20, 20, 38, 60, 35, 35, 87, 394, 193, 56, 56, 176, 2106, 2673, 514, 84, 84, 370, 9920, 29403, 16137, 1231, 120, 120, 721, 45471, 278027, 372346, 84635, 2748, 165, 165, 1374, 186016, 2563318, 7468429, 4032736, 413442, 5802, 220, 220, 2533

Offset

1,1

Comments

Table starts

...4.....4......10........20.........35.........56.........84.........120

..10....13......38........87........176........370........721........1374

..20....60.....394......2106.......9920......45471.....186016......724385

..35...193....2673.....29403.....278027....2563318...20765879...161504901

..56...514...16137....372346....7468429..142482220.2362961573.37398063014

..84..1231...84635...4032736..170199321.6596370468

.120..2748..413442..40480756.3570274220

.165..5802.1912366.386360710

.220.11665.8425696

.286.22432

.364

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for n=3 k=4
..0..0..0..1....0..0..0..1....0..0..2..2....0..0..0..0....0..0..0..3
..0..0..0..0....0..0..0..0....1..0..2..2....0..0..0..0....0..0..0..1
..1..1..0..0....3..1..0..2....2..1..3..2....2..2..1..2....2..0..1..1

Crossrefs

Column 1 is A000292(n+1)

Column 2 is A219367

Row 1 is A000292 for n>1

Sequence in context: A196051 A140234 A220044 * A219714 A167132 A168326

Adjacent sequences: A219825 A219826 A219827 * A219829 A219830 A219831

Keyword

nonn,tabl

Author

R. H. Hardin Nov 28 2012

Status

approved