We introduce the notion of numerical semigroups generated by concatenation of arithmetic sequences and show that this class of numerical semigroups exhibit multiple interesting behaviors.

中文翻译：

---

由等差数列串联生成的数值半群

我们介绍了由等差数列串联生成的数值半群的概念，并表明这类数值半群表现出多种有趣的行为。