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Plate Position Arithmetic - Strange Serial Number

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BadDog's Avatar
United States
1374 Posts
 Posted 09/22/2024  10:36 am Show Profile   Bookmark this topic Add BadDog to your friends list Get a Link to this Message Number of Subscribers
USPaperMoneyInfo.com has an excellent discussion on how currency serial numbers and plate position numbers are related located here.

That page includes a downloadable spreadsheet that you can use to determine plate position, run number sheet number, etc. given a note's serial number, run size and type of printing process. I've always found the spreadsheet to be very accurate. If you don't want to download the spreadsheet, the webpage goes through the math behind determining plate position so you can calculate it yourself.

Recently, though, as I was completing my Series 2021 $1 FRN District Set, I got a note with serial number L62055634B that when entered into the spreadsheet didn't come up with the plate position indicated on the note.

According to the BEP's Monthly reports, in July 2023 the Fort Worth facility printed San Franciso FRB $1 FRNs from L57600001B-L96000000B. So, this is when the note was printed and it would normally have been printed in the 50 note LEPE sheet format. Both the spreadsheet results and a manual calculation indicate a plate position of G5, yet the actual plate position indicated on the note is E4. I doubt the note is counterfeit (who counterfeits $1 FRNs?) so what gives?

It should be noted that for the LEPE process the plate position number doesn't depend on the run size. Run size is only used to determine run number, sheet number, etc. So, changing the run size for a LEPE printed note has no effect on the calculated plate position.

In order to come up with a plate position of E4 for this note, I had to change the print process to 32 subj COPE with a 100,000 run size (plate position number for the COPE process does depend on run size) AND swap the COPE halves (which supposedly does not commonly occur, but can).

What do you think? Were the LEPE process printers unavailable at Fort Worth in July 2023 for some reason, so they used the older COPE process printers? or is something else going on?
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Coinfrog's Avatar
United States
94367 Posts
 Posted 09/22/2024  2:10 pm  Show Profile   Bookmark this reply Add Coinfrog to your friends list Get a Link to this Reply
Bet Steve in Tampa will know!
Valued Member
United States
115 Posts
 Posted 09/24/2024  10:08 pm  Show Profile   Bookmark this reply Add VictoryHighway to your friends list Get a Link to this Reply
They are still running COPE production lines, but those are limited to the 32-note sheets.
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BadDog's Avatar
United States
1374 Posts
 Posted 09/26/2024  3:21 pm  Show Profile   Bookmark this reply Add BadDog to your friends list Get a Link to this Reply
Here's another strange plate position number/serial number note
Plate-Position-Arithmetic---Strange-Serial-Number
This note was printed at the Fort Worth Facility in Feb 2024. It has a plate position number of E3.

If it was printed with the 50 note LEPE process, the plate position would have been I3.

If it was printed with the 32 note LEPE process, then the plate position would have been C2.

So, it must have been printed with the 32 note COPE process, but a standard run size of either 200,000 or 100,000 sheets doesn't result in a plate position of E3.

To get a plate position of E3 for this serial number, the run size would have been between 150,849 -158,391 sheets (there are MANY smaller and larger run sizes that would result in this plate position, but this size run seems to fit the 100,000 to 200,000 sheet "normal" run sizes the best).
Valued Member
United States
151 Posts
 Posted 09/26/2024  7:19 pm  Show Profile   Bookmark this reply Add CoolBreeze to your friends list Get a Link to this Reply
Figuring out the run size is the difficult part. Using the formulas you get i3 and C2
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BadDog's Avatar
United States
1374 Posts
 Posted 09/30/2024  09:22 am  Show Profile   Bookmark this reply Add BadDog to your friends list Get a Link to this Reply
Another thing about these two notes (which I forgot to look at initially ), you can tell whether a $1 FRN was printed on a 50 or 32 subject sheet by looking at the size of the plate position number on the note (see the BEPs discussion here). If the letter and number are the same size, then it was printed on a 50 subject sheet. If they're different sizes then it was printed on a 32 subject sheet.

As can be seen in the above photograph, the plate position number has the same size letter and number (E3), so it was printed on a 50 subject sheet and therefor was printed using the LEPE process.

So, why doesn't the plate position number correspond to the plate position number expected for that serial number? Definitely something strange going on that at least I don't understand
Edited by BadDog
09/30/2024 09:32 am
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