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Mathematical research can be accessible. This video series somewhat faithfully records the thinking process of a 15-year-old in his mathematical research. Although it turned out that someone had made a similar discovery, this independent and nontrivial discovery still stands to prove that mathematical research is not far-fetched. Some useful links: The document I sent for competition: https://drive.google.com/file/d/1JEAV... My (very poorly maintained) website: https://trevorcheungmaths.neocities.o... Self-avoiding walk Mathworld page: http://mathworld.wolfram.com/Self-Avo... OEIS sequence: http://oeis.org/A007764 Graph on OEIS page: http://oeis.org/A007764/graph Catalan triangles and trapezoid: https://en.wikipedia.org/wiki/Catalan... I hope this gives a bit of context behind the making of this video series. If you want more of these types of not-so-mathematical videos, please comment below to let me know. Other than commenting on the video, you are very welcome to fill in a Google form linked below, which helps me make better videos by catering for your math levels: https://forms.gle/QJ29hocF9uQAyZyH6 If you want to know more interesting Mathematics, stay tuned for the next video! SUBSCRIBE and see you in the next video! #mathemaniac #math #mathematics #research #combinatorics #generalisation #catalan #catalannumbers #maths