Sum to infinity

Calculus Level 3

\[\large 1+\frac{2^3}{2!}+\frac{3^3}{3!}+\frac{4^3}{4!}+\cdots = k \times e \]

What is \(k\)?

\[\] Notation: \(e \approx 2.71828\) denotes the Euler's number.

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