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

Author

R. H. Hardin Oct 17 2012

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 2 is 9^n, A001019