Padovan numbers as sums over partitions into odd parts

Padovan numbers as sums over partitions into odd parts

Abstract 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 inequal...

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Bibliographic Details
Main Authors: Cristina Ballantine, Mircea Merca
Format: Article
Language:English
Published: SpringerOpen 2016-01-01
Series:Journal of Inequalities and Applications
Subjects:
integer partitions
Padovan numbers
multinomial coefficients
Online Access:http://link.springer.com/article/10.1186/s13660-015-0952-5

Internet

http://link.springer.com/article/10.1186/s13660-015-0952-5

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