与正整数的无序分拆和有序分拆相关的一些恒等式

郭育红;

数学学报 ›› 2007, Vol. 50 ›› Issue (3) : 707-710.

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数学学报 ›› 2007, Vol. 50 ›› Issue (3) : 707-710. DOI: 10.12386/A2007sxxb0081
论文

与正整数的无序分拆和有序分拆相关的一些恒等式

    郭育红;
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Some Identities Between Partitions and Compositions

    Yu Hong GUO
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摘要

Agarwal在2003年给出了一个联系着正整数的无序分拆与有序分拆的恒等式.本文给出了该问题的另外的一些恒等式.此外,利用菲波拉契数讨论了将正整数n分拆成不含分部量1的有序分拆的几个组合性质.

Abstract

An identity between partitions and compositions was obtained by Agarwal in the year 2003.The object of this paper is to show other identities between partitions and compositions.In addition,we shall give several new combinatorial properties of the composition of n in wit.h no part 1 appear by the Fibonacci number.

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组合性质 / 分拆恒等式 / 有序分拆

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郭育红;. 与正整数的无序分拆和有序分拆相关的一些恒等式. 数学学报, 2007, 50(3): 707-710 https://doi.org/10.12386/A2007sxxb0081
Yu Hong GUO. Some Identities Between Partitions and Compositions. Acta Mathematica Sinica, Chinese Series, 2007, 50(3): 707-710 https://doi.org/10.12386/A2007sxxb0081
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