new pinned post is probably in order
edit preface: see also my website yaay
currently my most active online presence is my userspace in the OEISwiki, where i write pages that are usually a mixture between
original research
trying to teach myself things (which it seems i am most effective at by writing)
reference pages for things i use frequently but don't want to store all the finicky details about in my mind or rederive on-the-fly
accumulation/overview of existing resources on a subject (usually when one contains some idea that becomes more significant when viewed in light of another)
i make them primarily as extensions of my memory, but would be extremely excited and willing to talk at great length about any of them
my favourite pages are
an introduction to Stirling numbers (the longest one; intended to convey everything I know about these triangles in a vaguely cohesive order)
on nearsighted binary counters (a study into the growth rates of the (seemingly only?) non-chaotic evolution sequences in a family of 1DCA, which can be seen as performing addition but only checking that all bits are 1 fixedly far rightwards for carries instead of infinitely far, leading to some bits incrementing prematurely and beginning to count at the same rate as the units on their own)
above the Stirling triangles (on a third kind that the majority of textbooks won't tell you about because their obscurity is self-perpetuating; they're rationals whose numerators and denominators look frighteningly large, but they arise in multiple contexts in probabilistic combinatorics)
writing down what you know about a subject is extremely useful, both for the rubber-duck effect (forcing you to confront gaps in your knowledge that you didn't know existed) and the ability to revise it whenever you learn/realise things (and once you have gained enough momentum, you will have a backlog of ideas that grows faster than you can manifest them; i am going to split off and expand an introduction's section about Faå di Bruno's formula)
i will also be writing my undergraduate dissertation this academic year, and think it will be on a Stirling/D-finite/gfery-related topic; it will need an introductory section, which i intend to use to reshape some of my existing writings into a more conventional textbook-style form (since there is currently a conspicuous absence of such a thorough coverage of this subject as I envision)
