CMIMC 2017

Calculus Level 4

k=3kk2!=AeB\large \sum_{k=3}^{\infty}\frac{k}{\left \lfloor \frac{k}{2}\right \rfloor!}=Ae-B

The equation above holds true for positive integers AA and BB. Find A+BA+B.

Notation: e2.718e \approx 2.718 denotes the Euler's number.

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