A087519 Number of arrangements of 1..n^2 in n X n array with one local minimum and one local maximum.

1, 16, 3584, 58566144

Offset: 1

Author

R. H. Hardin, Oct 23 2003

Keywords

• nonn
• nice

Comments

Neighbors of a cell are only considered in the X and Y directions.

Examples

			For n=2, 12 has one local max. whereas 13 has two local maxima
........ 34 and one local min. ....... 42 and two local minima
		

Crossrefs

Cf. A087518.