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

Author

R. H. Hardin Oct 06 2012

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Columns 1 and 2 are A217450

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