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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 writeSkyo_{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

Skyoplex

Skyo_{10^{100}}(10^{100})=\text{Skyoplex}
This is equal to Skyo_{10^{100}-1}(10^{\frac{10^{100}}{9}+10^{100}-1})

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