recaman-sequence's Introduction

Recamán's sequence image and animation generator

Inspired by this Numberphile video, this Python 3 script generates images and animations for Recamán's sequence.

Requires matplotlib for image and animation generation and tqdm.

Usage

usage: plot.py [-h] [--start M] [--format {png,svg}] [--dpi DPI]
               [--line-width WIDTH] [--anim] [--fps FPS] [--anim-dpi DPI]
               [--degree-skip SKIP]
               N

Plot the first N numbers of the Recamán sequence

positional arguments:
  N

optional arguments:
  -h, --help          show this help message and exit
  --start M           Start the sequence with M
  --format {png,svg}  Choose a format for the plot
  --dpi DPI           Set DPI for the plot
  --line-width WIDTH  Set line width of circles
  --anim              Animate plot
  --fps FPS           Set frames per second of animation
  --anim-dpi DPI      Set DPI for the animation
  --degree-skip SKIP  Set degrees to skip in circle animation

Examples

Generate a png image of the first 100 numbers in the sequence

python plot.py 100

Generate the animation in mp4 format (ffmpeg required) with each semicircle generated 10 degrees per frame

python plot.py 100 --anim --degree-skip 10

Start argument

You can change the start number in the sequence using the --start argument. For example:

$ python recaman.py 200
[0, 1, 3, 6, 2, 7, 13, 20, 12, 21, 11, 22, 10, 23, 9, 24, 8, 25, 43, 62, 42, ...]
$ python plot.py 200

$ python recaman.py 200 --start 100
[100, 99, 97, 94, 90, 85, 79, 72, 64, 55, 45, 34, 22, 9, 23, 8, 24, 7, 25, 6, 26, 5, 27, 4, 28, 3, 29, 2, 30, 1, 31, 0, 32, ...]
$ python plot.py 200 --start 100