A summation formula for generalized $k$-bonacci numbers
Number Theory
2022-11-02 v1 Combinatorics
Abstract
In this note, we present a simple summation formula for -bonacci numbers. The derivation consists in obtaining the generating function of such numbers, and noting that its evaluation at a particular value yields a formula generalizing a known expression for Fibonacci numbers.
Keywords
Cite
@article{arxiv.2211.00364,
title = {A summation formula for generalized $k$-bonacci numbers},
author = {Jean-Christophe Pain},
journal= {arXiv preprint arXiv:2211.00364},
year = {2022}
}