论文标题
连接的和弦图和渐近扩展的组合
Connected Chord Diagrams and the Combinatorics of Asymptotic Expansions
论文作者
论文摘要
在本文中，我们研究了$ c_n $的渐近扩展，这是$ n $和弦上连接的和弦图的数量。该扩展是通过应用于生成一系列连接和弦图的外星衍生物在早期的工作中获得的；我们寻求组合解释。此处介绍的主要结果是OEIS的进入https://oeis.org/a088221的新组合解释。我们将证明https://oeis.org/a088221计数成对连接的和弦图（允许空图）。这给出了$ C_N $的渐近扩展形式的一部分的组合解释。
In this article we study an asymptotic expansion for $C_n$, the number of connected chord diagrams on $n$ chords. The expansion is obtained in earlier work by means of alien derivatives applied to the generating series of connected chord diagrams; we seek a combinatorial interpretation. The main outcome presented here is a new combinatorial interpretation for entry https://oeis.org/A088221 of the OEIS. We will show that https://oeis.org/A088221 counts pairs of connected chord diagrams (allowing empty diagrams). This gives a combinatorial interpretation for the part of the closed form of the asymptotic expansion of $C_n$.
