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It's rather a formal question, not asking for anything specific. I'm writing a pseudo-book for my math class, which should contain 1. arithemtic sequences 2. geometric sequences 3. fractals. And so here's my ask for help and a question, Do you know anything about any of these, something that is not written in textbooks, and all over the internet, something interesting that may amaze people? I'm not looking for basic informations, like finding numbers in sequences, ratios, areas in fractals etc, like above, something new and giving out pleasure.

Thanks,

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# Tricks and Pranks in sequences and fractals

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