A Python script to plot the number sequence generated by a seed through the Collatz conjecture. Inspired by Veritasium's video.
From Wikipedia:
The Collatz conjecture is a conjecture in mathematics that concerns sequences defined as follows: start with any positive integer n. Then each term is obtained from the previous term as follows: if the previous term is even, the next term is one half of the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1. The conjecture is that no matter what value of n, the sequence will always reach 1.
This script takes a natural number greater or equal than one and follows the rules imposed by the conjecture to then gather an array of integers and plot them with matplotlib.pyplot.
Very big integers converge to 0 instead of 1. I will try to solve this, but it might be caused by approximation errors, which are out of my control.