If you did compute ( f_\omega+1(4) ) as an integer, you’d need more than ( 10^100 ) bits of memory—physically impossible. Hence any honest FGH calculator never expands to a full integer; it stays in a compressed symbolic form unless the result is tiny.
Even for ( f_\omega+1(4) ), the recursion depth exceeds the call stack of any standard language. Solutions: fast growing hierarchy calculator
except ValueError: print("Invalid input. n must be an integer.") except Exception as e: print(f"An error occurred: e") If you did compute ( f_\omega+1(4) ) as