Interesting paper on computer-generated conjectures regarding continued fraction representations of mathematical constants.

In particular, Figure 2 shows a really splendid (conjectural) representation of \(e\). I gave up trying to figure out how to type it readably here.


@jsiehler if you're referring to \(e=3-\cfrac{1}{4-\cfrac{2}{5-\cfrac{3}{6-\cfrac{4}{7-\cdots}}}}\), I do wonder how something like this was not noticed before...

@tpfto Yes, that's the one. Perhaps the ghost of Gauss will arise long enough to post a crabby missive suggesting that he found it centuries ago and didn't think it was impressive enough to make a fuss over.

@tpfto @jsiehler I found that centuries ago, but never thought it interesting enough to bother writing it down.

It's obvious, really.

@gauss @jsiehler don't worry, I'm sure figuring out you could pair up numbers to get out of a tedious addition problem was more worthwhile to put on record.

@tpfto @jsiehler I didn't bother writing that down, either, it was someone else who reported it.

Don't blame me for such insignificant trivialities.

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