### Abstract

We discuss some enumerational results relating the numbers of F(n; λ _{1}, ..., λ _{m}) and F(n; λ' _{1}, ..., λ' _{k}) frequency squares of order n. In particular, for any frequency vector (λ _{1}, ..., λ _{m}) of n, we discuss some enumerational results relating the number of F(n; λ _{1}, ..., λ _{m}) frequency squares and the number of latin squares of order n. In Section 4 we also discuss some enumera- tional results for latin rectangles.

Original language | English (US) |
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Pages (from-to) | 37-52 |

Number of pages | 16 |

Journal | Quasigroups and Related Systems |

Volume | 20 |

Issue number | 1 |

State | Published - Jun 28 2012 |

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory
- Discrete Mathematics and Combinatorics

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## Cite this

Castro, F. N., Mullen, G. L., & Rubio, I. (2012). Some enumerational results relating the numbers of latin and frequency squares of order n.

*Quasigroups and Related Systems*,*20*(1), 37-52.