This is a nice article. For those who have not yet read it (it's short, read it!), a one-paragraph summary: the author starts with a list of random numbers. Visualizing it (plotting the numbers, with the list index on the x axis) suggests / leads to (for the author) curiosity about how often numbers repeat. Plotting <i>that</i> leads to the question of what the maximum frequency would be, as a size of the input list. This can lead to a hypothesis, which one can explore with larger runs. And then after some musings about this process, the post suddenly ends (leaving the rest to the reader), and gives the code that was used for plotting.<p>This article is essentially an encouragement and a reminder of our ability to do experimental mathematics (<a href="https://en.wikipedia.org/w/index.php?title=Experimental_mathematics&oldid=899918382" rel="nofollow">https://en.wikipedia.org/w/index.php?title=Experimental_math...</a>): there's even a journal for it, and the Wikipedia article on it is worth reading (<a href="https://en.wikipedia.org/w/index.php?title=Experimental_Mathematics_(journal)&oldid=894684677" rel="nofollow">https://en.wikipedia.org/w/index.php?title=Experimental_Math...</a>). See also (I guess I'm just reproducing the first page of search results here) this article (<a href="https://www.maa.org/external_archive/devlin/devlin_03_09.html" rel="nofollow">https://www.maa.org/external_archive/devlin/devlin_03_09.htm...</a>), these two in the Notices of the AMS (<a href="https://www.ams.org/notices/200505/fea-borwein.pdf" rel="nofollow">https://www.ams.org/notices/200505/fea-borwein.pdf</a>, <a href="http://www.ams.org/notices/199506/levy.pdf" rel="nofollow">http://www.ams.org/notices/199506/levy.pdf</a>), this website (<a href="https://www.experimentalmath.info" rel="nofollow">https://www.experimentalmath.info</a>), this post by Wolfram (<a href="https://blog.stephenwolfram.com/2017/03/two-hours-of-experimental-mathematics/" rel="nofollow">https://blog.stephenwolfram.com/2017/03/two-hours-of-experim...</a>), and there's even book by V. I. Arnold (besides a couple by Borwein and Bailey, and others).<p>Especially in number theory and probability, simple explorations with a computer can suggest deep conjectures that are yet to be proved.