Preprints.org logo
Preprint
Article

This version is not peer-reviewed.

Sums and Partial Sums of Horadam Sequences: The Sum Formulas of \(\sum_{k=0}^{n}x^{k}W_{k}\) and $ \sum_{k=n}^{n+m}x^{k}W_{k}$ via Generating Functions

Submitted:

26 December 2021

Posted:

27 December 2021

You are already at the latest version

Abstract
In this paper, we present sums and partial sums of Horadam sequences via generating functions which extends a recent result of Prodinger.
Keywords: 
Horadam numbers
;  
Horadam sequence
;  
sum
;  
partial sum
;  
Fibonacci numbers
;  
Lucas numbers
Subject: 
Computer Science and Mathematics  -   Algebra and Number Theory
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.