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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
13
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 28 2012
STATUS
approved