I do think this is something that's relevant to most programmers unlike other commenters -- but the article goes from "counting database IDs" (a good practical

I do think this is something that's relevant to most programmers unlike other commenters -- but the article goes from "counting database IDs" (a good practical use case!) to "integer partitions" and I was immediately lost. No explanation of how those relate to calculating the database ID space, how those fit into the bigger scheme, etc. I think the article needs to demonstrate to the reader how every section is relevant to them - either by building off a relevant issue discussed in a previous section or tying it to some real world use case.