Math: The quadratic saga - Ep. 2

Some days later I began thinking how could I use this formula for other operations, not only have a squared number based on his previous squared number, but also have it based on his second previous number squared, third, fourth, etc - and my main objective, starting from zero. To make this easier, let n=10.

Then we can substitute "10" by "n" again, so that we can make the formula work for all values of "n".

And there I stopped. I knew I was close to my objective, but I didn't know the next steps would be so complicated.