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

1,2

Comments

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

Links

Table of n, a(n) for n=1..4.

Example

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.

Sequence in context: A281821 A003773 A217021 * A367535 A222917 A060616

Adjacent sequences: A087516 A087517 A087518 * A087520 A087521 A087522

Keyword

nonn,nice

Author

R. H. Hardin, Oct 23 2003

Status

approved