Let $f(x)$ be the unique polynomial that satisfies

$f(n) = \sum_{i=1}^n i^{101 }, \mbox{ for all positive integers}\ n.$

The leading coefficient of $f(n)$ can be expressed as $\frac{a}{b}$, where $a$ and $b$ are positive coprime integers. What is the value of $a+b$?

×

Problem Loading...

Note Loading...

Set Loading...