Standard definitions for fundamental sequences (using the Wainer Hierarchy) include:
Base:
if alpha == 'w': return fgh(n, n) # f_w(n) = f_n(n) # Add logic for w+1, w*2, etc. fast growing hierarchy calculator
This piece covers the mathematical foundations, the engineering challenges of building such a calculator, and provides a working code implementation for the computable levels of the hierarchy. 3$. Beyond that point
The text above provides the complete logic and code for a Fast Growing Hierarchy calculator. Due to the nature of the function, a standard numeric calculator can only function for $\alpha < 3$. Beyond that point, the "calculator" must switch to symbolic logic to describe the operations rather than the final number. fast growing hierarchy calculator