Examples of ordinal α for online calculators for Extended Arrows and fast-growing hierarchy with Extended Buchholz Function

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Representation of α in the normal form for Extended Buchholz functionRepresentation of α for online calculatorSome other representation of α
00
ψ0(0)p_{0}(0)1
ψ0(0)+ψ0(0)p_{0}(0)+p_{0}(0)2
ψ0(0)+ψ0(0)+ψ0(0)p_{0}(0)+p_{0}(0)+p_{0}(0)3
ψ0(ψ0(0))p_{0}(p_{0}(0))ω
ψ0(ψ0(0))+ψ0(0)p_{0}(p_{0}(0))+p_{0}(0)ω+1
ψ0(ψ0(0))+ψ0(ψ0(0))p_{0}(p_{0}(0))+p_{0}(p_{0}(0))ω+ω
ψ0(ψ0(0)+ψ0(0))p_{0}(p_{0}(0)+p_{0}(0))ω2
ψ0(ψ0(ψ0(0)))p_{0}(p_{0}(p_{0}(0)))ωω
ψ0(ψψ0(0)(0))p_{0}(p_{p_{0}(0)}(0))ε0
ψ0(ψψ0(0)(0)+ψψ0(0)(0))p_{0}(p_{p_{0}(0)}(0)+p_{p_{0}(0)}(0))ε1
ψ0(ψψ0(0)(ψψ0(0)(0)))p_{0}(p_{p_{0}(0)}(p_{p_{0}(0)}(0)))ζ0
ψ0(ψψ0(0)(ψψ0(0)(ψψ0(0)(0))))p_{0}(p_{p_{0}(0)}(p_{p_{0}(0)}(p_{p_{0}(0)}(0))))Γ0
ψ0(ψψ0(0)+ψ0(0)(0))p_{0}(p_{p_{0}(0)+p_{0}(0)}(0))ψ0(Ω2)
ψ0(ψψ0(ψ0(0))(0))p_{0}(p_{p_{0}(p_{0}(0))}(0))ψ0(Ωω)
ψψ0(ψψ0(0)(0))(0)p_{p_{0}(p_{p_{0}(0)}(0))}(0)ψ0(Ωψ0(Ω))
ψ0(ψψψ0(0)(0)(0))p_{0}(p_{p_{p_{0}(0)}(0)}(0))ψ0(ΩΩ)
ψ0(ψψψψ0(0)(0)(0)(0))p_{0}(p_{p_{p_{p_{0}(0)}(0)}(0)}(0))ψ0(ΩΩΩ)