What is...the Cantor sequence?

Goal. I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much. This time. What is...the Cantor sequence? Or: 101000101... Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. www.dtubbenhauer.com/youtube.html TeX files for the presentation. github.com/dtubbenhauer/My-TeX-files Thumbnail. Picture from arxiv.org/abs/2405.16786 Picture from www.dtubbenhauer.com/talks/2024-06-beijing.pdf Main discussion. oeis.org/A292686 en.wikipedia.org/wiki/Cantor_set Background material. encyclopediaofmath.org/wiki/Mahler_method link.springer.com/book/10.1007/BFb0093672 en.wikipedia.org/wiki/Transcendental_number_theory en.wikipedia.org/wiki/Algebraic_number en.wikipedia.org/wiki/Transcendental_number en.wikipedia.org/wiki/Transcendental_number#Number… en.wikipedia.org/wiki/Liouville_number en.wikipedia.org/wiki/Hilbert%27s_seventh_problem en.wikipedia.org/wiki/Gelfond%E2%80%93Schneider_th… en.wikipedia.org/wiki/Baker%27s_theorem en.wikipedia.org/wiki/Schanuel%27s_conjecture en.wikipedia.org/wiki/Four_exponentials_conjecture en.wikipedia.org/wiki/Six_exponentials_theorem en.wikipedia.org/wiki/Lindemann%E2%80%93Weierstras… math.stackexchange.com/questions/1270584 en.wikipedia.org/wiki/Generating_function en.wikipedia.org/wiki/Fractal Computer talk. mathematica.stackexchange.com/questions/167184/che… Pictures used. en.wikipedia.org/wiki/Cantor_set#/media/File:Canto… en.wikipedia.org/wiki/Cantor_set#/media/File:Canto… Picture from www.dtubbenhauer.com/talks/2024-06-beijing.pdf Another picture from www.dtubbenhauer.com/talks/2024-06-beijing.pdf More pictures from www.dtubbenhauer.com/talks/2024-06-beijing.pdf mathlandscape.com/wp-content/uploads/2023/08/canto… m.media-amazon.com/images/I/51EluqO87WL._SL1360_.j… media.springernature.com/w158/springer-static/cove… YouTube and co.    • What are...Mahler functions?   (Shameful selfpromotion)    • Boris Adamczewski: Furstenberg's conj...      • Transcendental Numbers - Numberphile   #analysis #numbertheory #mathematics