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The Asymptotic Number of Latin Rectangles

The Asymptotic Number of Latin Rectangles

Introduction.The problem of enumerating n by k Latin rectangles was solved formally by MacMahon [4] using his operational methods .For k = 3, more explicit solutions have been given in [1], [2], [3], and [5] .Wile further exact enumeration seems difficult, it is an easy heuristic conjecture that the number …