以下計算例
A()=ω
A(0)=ω^ω
A(1)=A(0#A(0))=A(0#ω^ω)
A(2)=A(0#A(1))=A(0#A(0#ω^ω))
A(0,0)=ω^ω^ω
A(0,1)=A(A(0,0))=A(ω^ω^ω)
A(0,2)=A(A(0,1))=A(A(ω^ω^ω))
A(1,0)=A(0,ω)
A(1,1)=A(0,A(1,0))=A(0,A(0,ω))
A(1,2)=A(0,A(1,1))=A(0,A(0,A(0,ω)))
A(2,0)=A(1,ω)
A(2,1)=A(1,A(2,0))=A(1,A(1,ω))
A(2,2)=A(1,A(2,1))=A(1,A(1,A(1,ω)))
A(0,0,0)=ω^ω^ω^ω
A(0,0,1)=A(A(0,0,0),A(0,0,0))=A(ω^ω^ω^ω,ω^ω^ω^ω)
A(0,0,2)=A(A(0,0,1),A(0,0,1))=A(A(ω^ω^ω^ω,ω^ω^ω^ω),A(ω^ω^ω^ω,ω^ω^ω^ω))
A(0,1,0)=A(0,0,ω)
A(0,1,1)=A(0,0,A(0,1,0))=A(0,0,A(0,0,ω))
A(0,1,2)=A(0,0,A(0,1,1))=A(0,0,A(0,0,A(0,0,ω)))
A(0,2,0)=A(0,1,ω)
A(0,2,1)=A(0,1,A(0,2,0))=A(0,1,A(0,1,ω))
A(0,2,2)=A(0,1,A(0,2,1))=A(0,1,A(0,1,A(0,1,ω)))
A(1,0,0)=A(0,ω,ω)
A(1,0,1)=A(0,A(1,0,0),A(1,0,0))=A(0,A(0,ω,ω),A(0,ω,ω))
A(1,0,2)=A(0,A(1,0,1),A(1,0,1))=A(0,A(0,A(0,ω,ω),A(0,ω,ω)),A(0,A(0,ω,ω),A(0,ω,ω)))
A(1,1,0)=A(1,0,ω)
A(1,1,1)=A(1,0,A(1,1,0))=A(1,0,A(1,0,ω))
A(1,1,2)=A(1,0,A(1,1,1))=A(1,0,A(1,0,A(1,0,ω)))
A(1,2,0)=A(1,1,ω)