For the sake of adding cross-references and my own analysis, I’m going to replicate part of someone else’s idea. An integers table can be used to create any desired sequence of numbers, and the idea can be extended to other data types as well. It’s easy to use a mutex table as an integers table, so there’s no need for two tables of the values. You can even create tables with characters, use integers with date functions to generate a range of dates, and so forth. Here is the canonical integers table, and the canonical select from it:

create table integers(i int unsigned not null);
insert into integers(i) values (0), (1), (2), (3), (4), (5), (6), (7), (8), (9);

select (hundreds.i * 100) + (tens.i * 10) + units.i as iii
from integers as units
    cross join integers as tens
    cross join integers as hundreds;

A very useful technique indeed.

I use the integers table in a number of ways in my posts about SQL. Sometimes you’ll see me refer to it as the “numbers” table too.

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