Once upon a mattress I used to be into number theory. I don't remember seeing this little sequence before. I'll bet this translate into other "bases" as well. Haven't tried it though. Might start playing with it a little...
In a lively show, mathemagician Arthur Benjamin races a team of calculators to figure out 3-digit squares, solves another massive mental equation and guesses a few birthdays. How does he do it? He’ll tell you.
I have 2 of Prof Benjamin's Great Courses courses.
It looked pretty wild and cool. It took a minute to find the pattern and then it made sense. I suspect someone did a couple in homework and the pattern jumped out at them, and the finished the sequence. I was never great at math all the way through school. I was good enough to be able to move to the next class in math though. All the way through college too. I found that how it's taught makes a big difference.