A note on V-binomials recurrence for Lucas companion to $U_n$ sequence $V_n$

TL;DR

This paper presents a recurrence relation for V-binomials associated with the Lucas companion sequence to the U_n sequence, providing new insights into their mathematical properties.

Contribution

It introduces a specific recurrence relation for V-binomials linked to Lucas sequences, expanding the understanding of their structure.

Findings

Derived a recurrence relation for V-binomials

Enhanced understanding of Lucas sequence properties

Potential applications in combinatorics and number theory

Abstract

The looked for V-binomials recurrence for Lucas companion to $U_n$ sequence $V_n$ is delivered