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I'm trying to express the following function more simply:

\begin{equation*} f(x) = (\sum_{n=3}^{x} \prod_{k=2}^{\lceil \sqrt n \rceil} \lceil \dfrac {n}{k} \rceil - \lfloor \dfrac{n}{k} \rfloor ) + 1 . \end{equation*}

I know this is kind of a vague request, but I'm trying to get away from the ceiling and floor functions and possibly the product notation, just because it feels like a hacky way of expressing what I'm trying to express.

Any ideas?

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    This looks more like a computer program than a mathematical expression.2010-08-29
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    @muad: what is a computer program but a particular kind of mathematical expression?2010-08-30

3 Answers 3