Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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

Version 1 : Received: 26 December 2021 / Approved: 27 December 2021 / Online: 27 December 2021 (13:48:06 CET)

How to cite: Soykan, Y. 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. Preprints 2021, 2021120429 (doi: 10.20944/preprints202112.0429.v1). Soykan, Y. 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. Preprints 2021, 2021120429 (doi: 10.20944/preprints202112.0429.v1).

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

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.