摘要
The closed forms of two kinds of generating functions for the Pascal-type triangle are derived.A certain of properties like the Pascal triangle are found.Explicit expression of any element and closed forms of several kinds of sums are given.A number of combinatorial identities associated with the triangle are constructed.
The closed forms of two kinds of generating functions for the Pascal-type triangle are derived.A certain of properties like the Pascal triangle are found.Explicit expression of any element and closed forms of several kinds of sums are given.A number of combinatorial identities associated with the triangle are constructed.
关键词
帕斯卡三角形
广义二项系数
生成函数
组合恒等元
排列
Pascal-type triangle
generalized binomial coefficient
generating function
combinatorial identity
