I've got a new sequence in the OEIS. It's to do with a really simple number game I made up. Here's a video explaining the rules
youtube.com/watch?v=ZtGcd0…
In reply to @christianp
Think of a number, and keep a running total starting at 0. Each turn, add your number on to the total. Then, if the old total was a multiple of your number, add one to your number. Otherwise, subtract 1.
The game ends when your number is 1.
In reply to @christianp
Which starting numbers eventually get to 1? In the video, it looks like starting at 4 doesn't, but starting at 2 does.
My new sequence, oeis.org/A338807, lists the numbers that eventually reach 1. I'd love to know if there's a pattern!
In reply to @christianp
You could think of this game as "the Collatz sequence with a running total" - what happens next doesn't just depend on which number you're on now, it also depends on all the numbers you've seen before.
In reply to @christianp
(my enemies might like to look at the editing history of the OEIS entry to see what a mare I had trying to compute it correctly and then format it properly)