Larger Chickies’ Number

Larger Chickies’ number = Chickie(10^100)

Chickie requires a bunch of stuff, so, let’s make them first!

Chick hierarchy:

Let μ be a large countable ordinal such to every limit ordinal α < μ there is assigned a fundamental sequence (a strictly increasing sequence of ordinals whose supremum is α). A Chick Hierarchy of functions C_α: N → N, for α < μ, is then defined as follows:

C_0(n) = Delta^{Delta(n)}(n)\

C_{a+1} = C_a^n(n)

Since we do not use ordinals, I will not add an ordinal rule.

the ^ is recursion.

Chick(m,n)

Chick(m,n) = C_{n}(n) when m = 0

Chick(m,n) = Chick^{n}(m-1,Chick^{n}(m-1,n^n)) when m> 0.

Finally, Chickie(n)

Chickie(n) = Chick(n^n,n^n)