The number of Latin rectangles

Details The number of Latin rectangles The number of Latin rectangles

2007-03-29

arxiv.org/abs/math/0703896v1

Mathematics

Combinatorics

Version dated circa 1980; GNU FDL

Scientific paper

We show how to generate an expression for the number of k-line Latin
rectangles for any k. The computational complexity of the resulting expression,
as measured by the number of additions and multiplications required to evaluate
it, is on the order of n^(2^(k-1)). These expressions generalize Ryser's
formula for derangements.

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