Question 53
Find all pairs of positive integers $(m, n)$ such that $m$ and $(n + 1)$ are coprime and
$$
\sum_{k=1}^{n} \frac{m^{k+1}}{k+1} \binom{n}{k}
$$
is an integer.
$$
\sum_{k=1}^{n} \frac{m^{k+1}}{k+1} \binom{n}{k}
$$
is an integer.
MathNet 2018-part-06 — 181 problems (EN–VI) Question 53
Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)