The Extended Frobenius Problem for Fibonacci Sequences Incremented by a Fibonacci Number

被引：1

作者：

Robles-Perez, Aureliano M. ^{[1
,2
]}

Rosales, Jose Carlos ^{[2
,3
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, Granada 18071, Spain

[2] Univ Granada, Inst Matemat IMAG, Granada 18071, Spain

[3] Univ Granada, Dept Algebra, Granada 18071, Spain

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 04期

关键词：

Fibonacci numbers; Fibonacci sequence; Frobenius problem; Numerical semigroup; Apery set; Frobenius number; Genus; Wilf's conjecture;

D O I：

10.1007/s00009-023-02428-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the extended Frobenius problem for sequences of the form {f(a) + f(n)} n ? N, where {f(n)} n ? N is the Fibonacci sequence and f(a) is a Fibonacci number. As a consequence of this study, we show that the family of numerical semigroups associated with these sequences satisfies Wilf's conjecture.

引用

页数：12

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