A217999 T(n,k)=Number of nXk arrays of the minimum or maximum value of corresponding elements and their horizontal and vertical neighbors in a random 0..2 nXk array

3, 9, 9, 25, 81, 25, 81, 729, 729, 81, 241, 6561, 19665, 6561, 241, 719, 59049, 531143, 531143, 59049, 719, 2181, 531441, 14345273, 43046713, 14345273, 531441, 2181, 6543, 4782969, 387332417, 3486751263, 3486751263, 387332417, 4782969, 6543

Offset

1,1

Comments

Table starts

.....3........9..........25...........81..........241..........719

.....9.......81.........729.........6561........59049.......531441

....25......729.......19665.......531143.....14345273....387332417

....81.....6561......531143.....43046713...3486751263.282429513233

...241....59049....14345273...3486751263.847279307713

...719...531441...387332417.282429513233

..2181..4782969.10458051407

..6543.43046721

.19623

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

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

Crossrefs

Column 2 is 9^n, A001019

Sequence in context: A206957 A207989 A207221 * A207550 A207317 A206700

Adjacent sequences: A217996 A217997 A217998 * A218000 A218001 A218002

Keyword

nonn,tabl

Author

R. H. Hardin Oct 17 2012

Status

approved