A217547 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..2 nXk array

3, 3, 3, 9, 3, 9, 17, 9, 9, 17, 37, 17, 81, 17, 37, 77, 37, 289, 289, 37, 77, 163, 77, 1369, 1401, 1369, 77, 163, 343, 163, 5929, 10213, 10213, 5929, 163, 343, 723, 343, 26569, 64473, 128051, 64473, 26569, 343, 723, 1523, 723, 117649, 431241, 1342855, 1342855

Offset

1,1

Comments

Table starts

....3....3........9.........17............37.............77.............163

....3....3........9.........17............37.............77.............163

....9....9.......81........289..........1369...........5929...........26569

...17...17......289.......1401.........10213..........64473..........431241

...37...37.....1369......10213........128051........1342855........15130953

...77...77.....5929......64473.......1342855.......22263471.......404884061

..163..163....26569.....431241......15130953......404884061.....12094757481

..343..343...117649....2824177.....166010145.....7113718205....346695485697

..723..723...522729...18626981....1837220123...126448240507..10077786323603

.1523.1523..2319529..122511585...20265096203..2237636413927.291384560664827

.3209.3209.10297681..806649933..223831206295.39669951994791

.6761.6761.45711121.5309370017.2471187319639

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

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

Crossrefs

Columns 1 and 2 are A217450

Column 3 is A207854(n-1) = A217450^2

Sequence in context: A201539 A223747 A161332 * A285583 A253358 A256566

Adjacent sequences: A217544 A217545 A217546 * A217548 A217549 A217550

Keyword

nonn,tabl

Author

R. H. Hardin Oct 06 2012

Status

approved