"Factoring" of addition?
Is there a name for "factoring" addition? For example...let's say I'm working in a basis of all integers greater than 3. I can make 7 from 3+4; 8 from 4+4 or 3+5; 9 from 3+3+3 or 4+5 or 6+3...
Is there a name for this? And if so...are there computer programs that...