# Septaphobia

Calculus Level 4

$\frac {1^7}{1!} + \frac {1^7 + 2^7}{2!} + \frac {1^7 + 2^7 + 3^7}{3!} + \frac {1^7 + 2^7 + 3^7 + 4^7}{4!} + \ldots$

If the series above equals to $$W$$, what is the value of $$\frac {24}{e} \times W$$?

Note: $$e = \displaystyle \lim_{n \to \infty} \left (1 + \frac 1 n \right )^n$$

Inspired by Caleb Townsend

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