7
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Can you identify the function depicted below?

Edit: this is actually a function over nonnegative integers with the points interpolated by straight lines. I hope this helps.

Mystery function

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  • 2
    $\begingroup$ So are you looking for a mathematical function $f(x)$, or the description of something that causes it (e.g., the heart rate pattern of a llama in labor)? $\endgroup$ – user1717828 Oct 7 '15 at 0:35
  • $\begingroup$ Hehe its a function $f(x)$ like you said $\endgroup$ – Morgan Laco Oct 7 '15 at 0:37
12
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This is A043537, the number of distinct digits in the base-10 form of n. The peaks in the first part of the graph are from the multiples of 11. After it reaches 100, there is a plateau for 102-109, then it drops for 110 and 111, and goes back up for 120. After that, the dips are for numbers with two digits the same.

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