The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number
Number Theory
2023-05-29 v2 Combinatorics
Abstract
We study the extended Frobenius problem for sequences of the form , where is the Fibonacci sequence and is a Fibonacci number. As a consequence, we show that the family of numerical semigroups associated to these sequences satisfies the Wilf's conjecture.
Cite
@article{arxiv.2210.00816,
title = {The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number},
author = {Aureliano M. Robles-Pérez and José Carlos Rosales},
journal= {arXiv preprint arXiv:2210.00816},
year = {2023}
}
Comments
11 pages; typos corrected