User blog comment:KthulhuHimself/The Rho function./@comment-26428969-20151028080855

this function has already been made by me and Vel on IRC, and we did improve some bounds (I don't remember which)

"C(n) is the largest possible output of the main function of a C program of at most n symbols that respects the ASCII standard, ande does not use preprocessor"

by the Church-Turing Thesis this function is uncomputable and eventually dominates all computable functions. no modern computer can compute it, not even quantum computers. is has a similar strength to the busy-beaver function