Online calculator for fast-growing hierarchy with Buchholz function

Homepage Video with examples of calculator workWrite a function of fast-growing hierarchy f_{α}(n) where "n" is a natural number and "α" is a countable ordinal, written in the normal form of Bichholz's function, i.e. α=0 or α=ψ_{0}(β_{1})+...+ψ_{0}(β_{k}), where k≥1 and ψ_{0}(β_{1})≥...≥ψ_{0}(β_{k}) and β_{i}∈C_{νi}(β_{i}) for 1≤i≤k. Each β_{i} should be written in the normal form too, i.e. β_{i}=0 or β_{i}=ψ_{ν1}(γ_{1})+...+ψ_{νm}(γ_{m}). Also, due to limits of the programm, ν_{1},..., ν_{m} should be digits from 0 to 9. Write "p" instead "ψ". For example, instead f_{ψ0(ψ1(0)+ψ1(0))}(100) write f_{p_0(p_1(0)+p_1(0))}(100). Don't use spaces.

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