User blog:TySkyo/Skyo Function

For lack of better terminology (and/ or good naming skills), I'm calling this the Skyo function. It is defined as: "The Skyo of x is equal to 10 to the power of n, where n is an x amount of ones." Since this definition may be written poorly here it is in equation format: $$Skyo(n)=Skyo(n-1)*10^{10^{n-1}}$$.

Multiple Skyos
For the case of something like $$Skyo(Skyo(7))$$, you would write $$Skyo_{2}(7)$$

For the case of $$Skyo_{2}(Skyo_{2}(7))$$, you would write$$Skyo_{4}(7)$$

List
$$Skyo(0)=\text{null}$$

$$Skyo(1)=\text{null}*10^{10^{0}}=10$$

$$Skyo(2)=Skyo(1)*10^{10^{1}}=10^{11}$$

$$Skyo(3)=Skyo(2)*10^{10^{2}}=10^{111}$$

$$Skyo_{2}(1)=Skyo(Skyo(0))*10^{10^{Skyo(Skyo(0))}}=\text{null}$$

$$Skyo_{2}(2)=Skyo(Skyo(1))*10^{10^{Skyo(Skyo(1))}}=^{5}10$$

$$Skyo_{10^{100}}(10^{100})=\text{Skyoplex}$$