Padovan numbers as sums over partitions into odd parts

被引：0
作者：
Cristina Ballantine
Mircea Merca
机构：
[1] College of The Holy Cross,Department of Mathematics and Computer Science
[2] University of Craiova,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2016卷
关键词：
integer partitions; Padovan numbers; multinomial coefficients; 05A20; 05A17;
D O I：
暂无
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学科分类号：
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.
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