Padovan numbers as sums over partitions into odd parts

Journal of inequalities and applications

Cristina Ballantine¹ 

关键词: integer partitions;    Padovan numbers;    multinomial coefficients;    05A20;    05A17;   

DOI  :  10.1186/s13660-015-0952-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Recently it was shown that the Fibonacci numbers can be expressed in terms of multinomial coefficients as sums over integer partitions into odd parts. In this paper, we introduce a similar representation for the Padovan numbers. As a corollary, we derive an infinite family of double inequalities.

【 授权许可】

CC BY