Devine Lu Ator on Nostr: Hailstone number sequences are sequences where numbers bounce up and down, like ...

Hailstone number sequences are sequences where numbers bounce up and down, like hailstone inside a cloud.

The Collatz problem generates such a sequence. The series is simple:
- For even numbers, divide by 2;
- For odd numbers, multiply by 3 and add 1.

So, if you start with 12, you get the sequence: 12, 6, 3, 10, 5, 16, 8, 4, 2, 1.

I found these 8 fractions, that when multiplied by 28672(r2^12) emits it:

10/15, 28/20, 2/10, 704/33, 14/11, 21/28, 88/14, 5/7

https://paste.sr.ht/~rabbits/470b0cb46e7777be3cb4c2b3b4f155acb5f5e762