I recently saw this
https://www.outdoorphotographyschool.com/aperture-and-f-stops-explained/
It tries to explain the origin of the strange numbering convention.
But for me the bottom line is:
- either improving math skills, the divsion/multiplication by 1,4x (approx. square root of 2) and a bit of rounding.
Starting with 1 and multply each time by 1,4 + bit rounding gets you the full list.
Hint: why squareroot of 2? Aperture is about surface of lens opening, and a circular surface doubles when the radius is multiplied by V`2 = 1,4
- or using the tables, especially if half stops are needed or even worse 1/3 aperture stops....
Hint: with a little bit of luck, your lens might help: there is a aperture stop list on most lenses ( but not all, and some skip values, others use 1/2 stops, etc) ; also most lenses click when rotating aperture ring, either by 1 or 1/2 or 1/3 stops, check your lens manual or compare with a table to understand your lenses...