A217457 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..2 nXk array

3, 3, 3, 9, 15, 9, 17, 69, 69, 17, 37, 253, 613, 253, 37, 77, 1049, 4361, 4361, 1049, 77, 163, 4205, 35067, 60821, 35067, 4205, 163, 343, 16887, 271863, 939819, 939819, 271863, 16887, 343, 723, 68015, 2122623, 14031423, 28176327, 14031423, 2122623

Offset

1,1

Comments

Table starts

....3........3...........9.............17..............37...............77

....3.......15..........69............253............1049.............4205

....9.......69.........613...........4361...........35067...........271863

...17......253........4361..........60821..........939819.........14031423

...37.....1049.......35067.........939819........28176327........816124375

...77.....4205......271863.......14031423.......816124375......45755747495

..163....16887.....2122623......211328743.....23851967507....2588934295383

..343....68015....16577231.....3180307843....696290061931..146317423917255

..723...273471...129398981....47838403809..20322202997527.8268318911401803

.1523..1100135..1010161409...719805267377.593290247614087

.3209..4425449..7886865189.10830069725301

.6761.17801365.61570433261

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

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

Crossrefs

Sequence in context: A332337 A161808 A188344 * A231753 A231663 A180439

Adjacent sequences: A217454 A217455 A217456 * A217458 A217459 A217460

Keyword

nonn,tabl

Author

R. H. Hardin Oct 03 2012

Status

approved