The Ramanujan Machine

[telemachos]

This "machine," described in the abstract here:

<https://phys.org/news/2019-07-ramanujan-machine-automatically-conjectures-fundamental.html>

has generated continued fractions for many fundamental constants. Two examples are given in the abstract, one for e, and another for π [actually, for 4/(π – 2)]. (Where π means pi, not the letter n.)

They might be worth exploring on your favorite HP calculator.

I haven't attempted to access the full paper, which may be behind a paywall anyway. The amusement may have exhausted itself with e and π, however.