https://github.com/salamnocap/syracuse

ipython jupyter-notebook matplotlib plotext python seaborn syracuse vscode

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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 3 years ago)
Default Branch: main
Last Pushed: 2022-11-23T19:07:47.000Z (about 3 years ago)
Last Synced: 2025-03-13T00:17:40.212Z (10 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

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