TITLE: What type of function is this close to?
QUESTION [1 upvotes]: Does anyone recognize this type of function, or is this similar to another function?

I can see that it is discrete and that it has a point, (9, 30), where the function reflects and later repeats backwards.
This does not remind me about any function I know of, but as I enter more test values, it seems to approach a linear function.

REPLY [2 votes]: As I said in my comment, this actually looks like the sum of delayed sigmoid functions.
If you denote $\sigma(x)=\dfrac{1}{1+e^{-x}}$ the logistic function. Looking at your plot, I thought of trying this function:
$$f(x)=\sigma(x-2)+\frac{1}{2}\sigma(x-9)+\sigma(x-17)$$
And here's the plot of this function:

So I guess you might want to look at this logistic function ;)
Note: You would just have to scale this up a little and change the inflection points positions (here $2$, $9$ and $17$) to fit your data.
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