User blog:MilkyWay90/My Level Function

lvl(x, y, z) = lvl(x-1, y, lvl(x-1, y, lvl(...lvl(x - 1, y, y))...)) with z - 1 number of lvls

lvl(1, y, z) = y + z

For example:

lvl(1, y, z) = y + z

lvl(2, y, z) = y * z

lvl(3, y, z) = y ^ z

lvl(4, y, z) = y tetrated to the z

lvl(5, y, z) = y pentrated to the z

AND SO ON...

I'm trying to make an extended version of it, but it's currently not well-defined.

Can anybody tell me the growth rate of the level function and any suggestions on it (Or just any comments)?

Thank you for reading.

Created by MilkyWay90