Non-standard sequences

I already mentioned that my article was published in a peer-reviewed mathematics journal:https://doi.org/doi:10.30970/ms.63.1.14-20But many articles are published, and I consider the idea underlying my publication to be very important. Therefore, I decided to present this idea again, with a slightly different emphasis. And so I wrote this version. It's difficult to say which version is better. The scientific content of both versions is identical. However, the version presented here focuses on conceptual (or, as they say now, philosophical) questions; in the first version, the focus was on more formal, mathematical questions:https://doi.org/10.5281/zenodo.18559579Volodymyr M. Zhuravlov