For more info about the Goodstein Sequence check:
http://quibb.blogspot.com/2018/03/goodstein-sequences-and-hereditary-base.html
I started this repository after this video of PBS Infinite Series:
https://www.youtube.com/watch?v=oBOZ2WroiVY&ab_channel=PBSInfiniteSeries
Please, be aware that the numbers in the sequence grow really fast.