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I'm fairly new to googology, and this is some stupid thing I made in my free time:

The ULTIMATE BIG-ASS FUNCTION (UBAF)


UBAF(n)=(n+n+n+n...+n+n, with n+n  "+n"s)+(n*n*n*n...*n*n, with n*n "*n"s)*(n^n^n^n...^n^n, with n^n "^n"s)^ . . . .

you get the idea.  There is, however, a twist: the number of steps in the function is equal to n.  So for n=1, you would only do addition, for n=2, addition and multiplication, for n=3, both of those and exponentiation, etc.  So:


UBAF(1)=3

UBAF(2)=42

UBAF(3)=3^^27

I'm much too lazy to calculate the rest.


Also, googolisms:

UBAF(100)=zofombus

UBAF(zofombus)=hyper-zofombus

UBAF(hyper-zofombus)=hyper-hyper-zofumbus

hyper-hyper-hyper-hyper...-hyper-hyper zofombus (with zofombus hypers)=gugorimax

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