Ad Astra Awards
Ad Astra Journal
Science library
White book
University rankings
Who's who
Publications
Theses and dissertations
Ad Astra association
 
Press releases
News
Events
Funding opportunities
 
Login
Registration
 
>> Românã
 
   
 

C. Ballantine, M. Merca. Padovan numbers as sums over partitions into odd parts. Journal of Inequalities and Applications, 2016:1, 2016.

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 inequalities.

Keywords: integer partitions, Padovan numbers, multinomial coefficients

URL: http://dx.doi.org/10.1186/s13660-015-0952-5

Posted by Mircea Merca

Back

   
© Ad Astra 2001-2013