It's not called combinatorial growth, it's just superexponential growth. What OP likely is referring to is Combinatorial explosion: https://en.wikipedia.org/wi

It's not called combinatorial growth, it's just superexponential growth. What OP likely is referring to is Combinatorial explosion: https://en.wikipedia.org/wiki/Combinatorial_explosion https://en.wikipedia.org/wiki/Combinatorial_explosion Related, one of my goals for my mathematics thesis is to come up with a generating function series that can represent superexponential sequences. Right now, there are no generating functions for any sequences that grow faster than exponential, because the standard series we use, would not converge nomatter the coefficients. [1] https://oeis.org/wiki/Growth_of_sequences#Superexponential https://oeis.org/wiki/Growth_of_sequences#Superexponential