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arXiv · 2210.00816

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

Aureliano M. Robles-Pérez·José Carlos Rosales
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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.

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Aureliano M. Robles-Pérez, José Carlos Rosales. 2022-10-03. The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number. https://doi.org/10.1007/s00009-023-02428-9

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