Number Theory

    

A Generator for Sums of Powers of Recursive Integer Sequences

Authors: Ryan Zielinski

In this paper we will prove a relationship for sums of powers of recursive integer sequences. Also, we will give a possible path to discovery. As corollaries of the main result we will derive relationships for familiar integer sequences like the Fibonacci, Lucas, and Pell numbers. Last, we will discuss some applications and point to further work.

Comments: 8 Pages. Version 2 condenses the main result into a single case, discusses related work, and makes some minor changes. Both versions are licensed under the CC BY 4.0, a Creative Commons Attribution License.

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Submission history

[v1] 2020-03-02 11:49:50
[v2] 2020-03-13 12:17:59

Unique-IP document downloads: 264 times

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