Divisors of the number of Latin rectangles

Stones, Douglas S; Wanless, Ian

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Divisors of the number of Latin rectangles

Date

2010

Authors

Stones, Douglas S

Wanless, Ian

Publisher

Academic Press

Abstract

A k × n Latin rectangle on the symbols {1, 2, ..., n} is called reduced if the first row is (1, 2, ..., n) and the first column is (1, 2, ..., k)T. Let Rk, n be the number of reduced k × n Latin rectangles and m = ⌊ n / 2 ⌋. We prove several results