this post was submitted on 11 Feb 2026
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Edit: misread the prompt, below original post is wrong, I apologize!
Noe start with three or any odd number :p 3 , 7, 15, 31, 33.....
I think only 2^x has the outcome you describe, please correct me if I'm mistaken.
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 ...
Edited my response, I misread it. Thank you!
You misread it, too, did you? 😉
Yes! :/
7→22→11→34→17→52→26→13→40→20→10→5→16→8→4→2→1→4→2→1→4→2→1...
Edit: also, 9→28→14→7...
And, 15→46→23→70→35→106→53→160→80→40→20→10→5→16→8→4→2→1...
Or even, 19→58→29→88→44→22→11→...
And lest we forget, 3→10→5→16→8→4→2→1...
That covers every odd number below 20. Want me to do 21 and 25, too? Perhaps 27?
The trick is to read the prompt. I had 2n+1 are the new number of passengers.
Had to reconstruct it from your answer though.
Anyway, thanks!