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Not to be confused with H function.
 H* Function Growth rate $$f_{\omega}(x)$$ Based On -illions

The H* function (defined by SuperJedi224 for generating new -illions) is defined as follows:[1]

• H*(m)=H(m)=103m+3
• H*(m,0)=m
• H*(m,n+1)=HH*(m,n)(m)=H(H(H(...H(m)...))), with H*(m,n) Hs.
• H*(a,...,b,c,1)=H*(a,...,b,c)
• H*(a,...,b,c,d)=H*(a,...,b,H*(a,...,b,c,d-1)) (Although the original definition does not clarify it, the rule is probably supposed to be applied only when d > 1).

In other words:

1. If there is precisely one variable, the function value is the variable-th -illon.
2. if there are precisely two variables:
1. if the second variable is 0,the function value is the first variable.
2. else:
1. Decrease the second variable in 1, and call the new function value Z.
2. The function value is recursion of the first variable through the H* function Z times.
3. else:
1. if the last entry is 1, remove it.
2. else:
1. Decrease the last variable by 1, and call the new function value Z.
2. Replace the last two variables with one Z.