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

%I #4 Mar 31 2012 12:35:00

%S 1,16,3584,58566144

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

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

%e For n=2, 12 has one local max. whereas 13 has two local maxima

%e ........ 34 and one local min. ....... 42 and two local minima

%Y Cf. A087518.

%K nonn,nice

%O 1,2

%A _R. H. Hardin_, Oct 23 2003