i remember some posts about how common various roman rulers coins where not long ago and remember thinking they didn't match up with the coins I had in my collection very well. most of my roman coins have come from uncleaned lots up to this point, and I haven't purchased any of these coins looking for a certain type or ruler (i have for non-roman ancients).
anyway, I'm moving my collection about after the pvc scare, had a few ancients left in an old album and have several incoming where I DID buy a specific ruler. so last chance to get something like a "randomish" sample of roman coins avaialbe purchased in lots. note I have several still soaking I didnt include. also nothing in my cull bag included. also sold about 70 coins...seemed to jive with what showed up below. 11 months of ancient coin collecting.
I've laid them all out and made kind of a histogram in reverse alphabetical order, arcadius is on the far right, urbs roma (probably should be lumped into constantine?) is on the far left...note 2 of each.
coin in on the upper left bunched together are my non-roman ancients.

the peaks...
constantius ii: 16 coins
constans and valens: 9 coins
constantine ii: 8 coins
constantine: 5 (+2 if add urbs roma, +2 if more add constantinople city commemorative).
i thought that was kind of interesting.