A tribute to #Numberphile and their video on the Recamán Sequence:
https://www.youtube.com/watch?v=FGC5TdIiT9U
Check out their video to see what the numbers mean.
When visualized as loops and circles, the Recamán Sequence starts as an interesting swirly pattern, but when you extend it to more and more terms, a clear fractal structure begins to emerge. I believe this is the largest animation of the sequence yet created, with 300,000 terms. For this version, I highlighted the fractal pattern in different colors to make it clearer, and I also made the animation speed up exponentially so it doesn't get bogged down on the large numbers.
Music: Anitra's Dance (abridged) and In the Hall of the Mountain King from Peer Gynt by Edvard Grieg. Public domain recording courtesy of the Musopen Symphony.
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