论文标题
卢卡斯系列的扩展Frobenius问题由Lucas编号增加
The extended Frobenius problem for Lucas series incremented by a Lucas number
论文作者
论文摘要
我们研究了$ \ {l_a \} \ cup \ {l_a+l_n \} _ {n \ in \ in \ mathbb {n}} $和$ \ \ \ {l_a+l_n+l_n \} _ { $ \ {l_n \} _ {n \ in \ mathbb {n}} $是lucas系列，$ l_a $是lucas号码。结果，我们表明，与两个序列相关的数值半群的家庭都满足了WILF的猜想。
We study the extended Frobenius problem for sequences of the form $\{l_a\}\cup\{l_a+l_n\}_{n\in\mathbb{N}}$ and $\{l_a+l_n\}_{n\in\mathbb{N}}$, where $\{l_n\}_{n\in\mathbb{N}}$ is the Lucas series and $l_a$ is a Lucas number. As a consequence, we show that the families of numerical semigroups associated to both sequences satisfy the Wilf's conjecture.
