# CMIMC 2017

Calculus Level 3

$\large \sum_{k=3}^{\infty}\frac{k}{\left \lfloor \frac{k}{2}\right \rfloor!}=Ae-B$

The equation above holds true for positive integers $$A$$ and $$B$$. Find $$A+B$$.

Notation: $$e \approx 2.718$$ denotes the Euler's number.

×