Function whose derivative is itself, but

Calculus Level 4

Let there be a function \(f(x) \) such that

\[ f'(x) = f(x-1) \]

If \( f(\pi) = [W(1)]^{-\pi} \), where \( W(x) \) represents the Lambert's W function determine \( \lfloor 1000 \times f(\frac{1}{\Omega}) \rfloor \), where \(\Omega\) is the Omega constant.

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