"Well I couldn't get what I wanted so I think I'll do the cringiest thing imaginable and abandon my entire career"

I'd watch that anime.

This is from the music video for First Date - Blink 182

Odd numbers cause double plus one additional passengers to board. So a cycle starting with 3 is a bit different.

3 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1 -> 4 ...