Syracuse

The Syracuse Sequence

The Syracuse (Collatz or Hailstone) conjecture concerns a sequence of integers defined as follows:

Starts with any positive integer N

  And each term is formed from the previous one as follows:

    if the previous term is odd:

        the next term is 3 times the previous term and plus 1

$$ 3*N + 1 $$

    if the previous term is even:

        the next term is half the previous term

$$ N / 2 $$

The sequence will always reach 1. 🏁

Solution

• Solution in IPython Notebook 8.5.0: Syracuse.ipynb

• Solution in Python 3.10.6: Syracuse.py

Additional libraries used for visualization:

Seaborn

pip install seaborn

Matplotlib

pip install matplotlib

Plotext

pip install plotext

Clone this repository :

$ git clone https://github.com/skuantaiuly/Syracuse.git

Author

Kuantaiuly Salamat

11/2022, developed on IPython and Jupyter Notebook, Visual Studio Code