论文标题
在整数序列的中心变换上
On a Central Transform of Integer Sequences
论文作者
论文摘要
我们使用下三角基质的一半的概念来定义整数序列上的转换。我们探讨了这种转换的特性,包括在某些情况下研究转化序列的Hankel变换。从具有基本有理生成函数的简单序列开始,我们获得了许多组合意义的序列。我们广泛利用从Riordan阵列理论中得出的技术。
We use the concept of the half of a lower-triangular matrix to define a transformation on integer sequences. We explore the properties of this transformation, including in some cases a study of the Hankel transform of the transformed sequences. Starting from simple sequences with elementary rational generating functions, we obtain many sequences of combinatorial significance. We make extensive use of techniques drawn from the theory of Riordan arrays.