论文标题

部分回文组成

Partially Palindromic Compositions

论文作者

Huang, Jia

论文摘要

我们通过部分查看所有(模块化的)本文或抗palindromic来概括模块化腔膜组成和抗palindromic组成的最新工作和类似的作品。更确切地说,我们以其(模块化)alindromic或抗palindromic的程度来枚举组成。我们通过产生功能获得各种封闭的公式,并为其中的许多人提供徒证明。我们恢复了安德鲁斯(Andrews)的一些已知结果,并进行类似,并在整数序列(OEIS)的在线百科全书中发现了许多序列的新连接。

We generalize recent work of Andrews, Just, and Simay on modular palindromic compositions and anti-palindromic compositions by viewing all compositions partially (modular) palindromic or anti-palindromic. More precisely, we enumerate compositions by the extent to which they are (modular) palindromic or anti-palindromic. We obtain various closed formulas from generating functions and provide bijective proofs for many of them. We recover some known results of Andrews, Just, and Simay and discover new connections with numerous sequences in The On-Line Encyclopedia of Integer Sequences (OEIS).

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