论文标题

限制反转序列和置换置换置换的射击

Bijections for restricted inversion sequences and permutations with fixed points

论文作者

Elizalde, Sergi

论文摘要

我们提供了AULI公式的徒证明,作者表达了反演序列的数量,该序列的数量没有三个连续的相等条目,即非衍生物的数量,即带有固定点的排列。此外,我们给出了两种简单复发的徒证明非衍生物的数量。

We provide a bijective proof of a formula of Auli and the author expressing the number of inversion sequences with no three consecutive equal entries in terms of the number of non-derangements, that is, permutations with fixed points. Additionally, we give bijective proofs of two simple recurrences for the number of non-derangements.

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