According to a
legend
, there was at one time in ancient China a huge flood. While the great king Yu was trying to channel the water out to sea, a turtle emerged from it with a curious pattern on its shell (see the image below): a magic square, i.e. a
square grid filled with distinct positive integers in the range
such that each cell contains a different integer and the sum
of the integers in each row, column and diagonal is equal.
Let the magic constant be
, how many different square grids with order
exists?
Assumptions : changing a row determines two different magic squares (e.g. changing the second row with ) as well as invert the order of numbers (e.g. and ); the same for columns. Furthermore there is not a limit on the maximum number inside each squares of the grid.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
No explanations have been posted yet. Check back later!