https://github.com/salamnocap/syracuse

The Syracuse Sequence
https://github.com/salamnocap/syracuse

ipython jupyter-notebook matplotlib plotext python seaborn syracuse vscode

Last synced: about 2 months ago
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The Syracuse Sequence

• Host: GitHub
• URL: https://github.com/salamnocap/syracuse
• Owner: salamnocap
• License: mit
• Created: 2022-11-23T16:20:03.000Z (about 2 years ago)
• Default Branch: main
• Last Pushed: 2022-11-23T19:07:47.000Z (about 2 years ago)
• Last Synced: 2024-10-13T11:21:59.782Z (3 months ago)
• Topics: ipython, jupyter-notebook, matplotlib, plotext, python, seaborn, syracuse, vscode
• Language: Jupyter Notebook
• Homepage:
• Size: 58.6 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE.md

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README

        
# 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](https://github.com/skuantaiuly/Syracuse/blob/main/Syracuse.ipynb)

+ Solution in Python 3.10.6:

[Syracuse.py](https://github.com/skuantaiuly/Syracuse/blob/main/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