Visualizing a few famous integer sequences using Python (matplotlib). They are spectacular and beautiful; aparently you can listen to them too: http://oeis.org/listen.html

Recaman sequence

• Script: vizRecaman.py
• Sequence: 0, 1, 3, 6, 2, 7, 13, 20, 12, 21, 11, 22, 10, ...
• References: https://youtu.be/FGC5TdIiT9U, https://oeis.org/A005132

B&W (N = 400)	Colored (N = 400)

Fibonacci sequence

• Script: vizFibonacci.py
• Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, ...
• References: https://oeis.org/A000045, https://en.wikipedia.org/wiki/Fibonacci_number

Fibonacci spiral (N = 35)	Golden-ratio spiral (N = 300)

Prime sequence

• Script: vizPrimes.py
• Sequence: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, ...
• References: https://en.wikipedia.org/wiki/Prime_number, https://en.wikipedia.org/wiki/Ulam_spiral

Ulam spiral (N = 32)	Ulam spiral (N = 256)	Ulam spiral (N = 256)

Pentagon sequence

• Script: vizPentagon.py
• Sequence: 1, 5, 12, 22, 35, 51, 70, 92, 117, 145, 176, 210, ...
• References: https://oeis.org/A000326

N = 5	N = 20	N = 40