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Question: Latin squares with Maple

Question:Latin squares with Maple

Markiyan Hirnyk 7809 Maple
latin-squares
June 02 2012
0

What is the number of the Latin squares of order 5 (see http://en.wikipedia.org/wiki/Latin_squares
for more details), having all  entries of its diagonals different (e.g. Matrix( [[1,2,3,4,5],[5,3,4,1,2],[4,5,2,3,1],[2,4,1,5,3],[3,1,5,2,4]] )

)?
The same question for order 4.
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