中心多边形数，七边形和九边形，以及罗宾斯数
Centered polygon numbers, heptagons and nonagons, and the Robbins numbers
摘要：
在这篇笔记中，我们探讨了罗宾斯数的某些行列式描述。用于此的技术包括连分数、Riordan阵列和级数反演。简化和简化表示涉及汉克尔矩阵和对称矩阵的行列式。在特定情况下，链接将绘制到居中的多边形编号以及七边形和九边形。我们猜想了一个与Fibonacci数和Catalan数有关的Robbins数的Hankel变换行列式。
英文摘要：
In this note, we explore certain determinantal descriptions of the Robbins numbers. Techniques used for this include continued fractions, Riordan arrays and series inversion. Proven and conjectured representations involve the determinants of both Hankel and symmetric matrices. In specific cases, links are drawn to centered polygonal numbers, and to heptagons and nonagons. We conjecture a Hankel transform determinant for the Robbins numbers related to the Fibonacci and the Catalan numbers.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
