Mathematics > Number Theory
[Submitted on 3 Oct 2022 (v1), last revised 2 Nov 2022 (this version, v2)]
Title:The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number
View PDFAbstract: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.
Submission history
From: Aureliano M. Robles-Pérez [view email][v1] Mon, 3 Oct 2022 11:00:46 UTC (10 KB)
[v2] Wed, 2 Nov 2022 18:56:48 UTC (10 KB)
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