The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number

Abstract

We study the extended Frobenius problem for sequences of the form $\{f_a+f_n{\}}_{n\in \mathbb{N}}$, where $\{f_n{\}}_{n\in \mathbb{N}}$ is the Fibonacci sequence and $f_a$ is a Fibonacci number. As a consequence, we show that the family of numerical semigroups associated to these sequences satisfies the Wilf's conjecture.

11 pages; typos corrected

References in corpus (1)

• Minimal binomial systems of generators for the ideals of certain monomial curves

Cited by in corpus (1)

• On Frobenius Numbers of Shifted Power Sequences