逆序数与自然数的分拆

On the Number of Inverted Sequences of the Permutation and the Partitions of Natural Numbers

本文给出排列的逆序数的母国数，利用母函数讨论这序数的若干性质并给出其组合意义，然后建立联系边序数与自然数的分拆数的一些有趣的恒等式．

in this paper the generating functions of the numbers of inverted sequences of the permtl.tc.tion are given, by which the properties of the numbers of inverted sequences and their combinationary senses a.re discussed. Furtheremorc, some interesting identities relating the 'timbers of inverted seqt7,ences with numbers of partitions of natural 'ti.mbers are esta-blished.