A note on $p$-adic valuations of the Schenker sums

Piotr Miska

A prime number $p$ is called a Schenker prime if there exists such $n\in {\mathbb{N}}_{+}$ that $p\nmid n$ and $p\mid a_n$, where $a_n={\sum }_{j=0}^n\frac{n!}{j!}{n}^j$ is so-called Sch…