While I know the FAQ articles about series need be updated to the new series database entity, I assume the rules will be similar:
- Coins https://en.numista.com/help/series-110.html
- Banknotes https://en.numista.com/help/series-157.html
According to the guidelines the series of commemorative objects must not include the word “series”.
I see a few series with the word “program” in their names:
- 47 prefectures of Japan coin program
- Ages of Europe Program
- America the Beautiful Quarters® Program
- American Innovation Coin Program
- American Liberty Gold Coin and Silver Medal Program
- American Women Quarter Program
- Code Talkers Recognition Congressional Medals Program
- Commemorative Coin Program
- Erasmus Programme
- Eurafrique Program
- Europa Coin Programme
- International Program of the Central Banks of EurAsEC Countries
- National Hauszmann Programme
- Presidential $1 Coin Program
- Presidential Silver Medals Program
- The International Coin Program of the EAEC Member States
- United States Armed Forces Silver Medal Program
- United States Mint's "America the Beautiful" Quarters® Program
- United States Mint's 50 State Quarters® Program
- United States Mint's District of Columbia and United States Territories Quarters® Program
In most of these cases this word is used with a meaning equivalent to “series”. I think this word should be removed and added to the FAQs.


