An analogue of Euler's identity and new combinatorial properties of n-colour compositions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:160

Article; Proceedings Paper

Agarwal, AK

关键词: partition identity;    Euler;    n-colour compositions;   

DOI  :  10.1016/S0377-0427(03)00609-5

来源: Elsevier

【 摘 要 】

An analogue of Euler's partition identity: The number of partitions of a positive integer v into odd parts equals the number of its partitions into distinct parts is obtained for ordered partitions. The ideas developed are then used in obtaining several new combinatorial properties of the n-colour compositions introduced recently by the author. (C) 2003 Elsevier B.V. All rights reserved.

【 授权许可】

Free