User blog:Googleaarex/2 and 3-variable Psi function

psi(0,1) = w^{e(0)+1}

psi(0,n) = w^{e(0)+n}

psi(0,psi(0)) = w^{e(0)*2}

psi(0,psi(0,psi(0))) = w^w^{e(0)*2}

psi(1,0) = psi(0,W) = e(1)

psi(x,y) = w^{e(x)+y}

psi(0,0,1) = e(0)+1

psi(0,0,n) = e(0)+n

psi(0,0,psi(0)) = e(0)*2

psi(0,0,psi(0,0,psi(0))) = e(0)*3

psi(0,1,0) = psi(0,0,W) = w^{e(0)+1}

psi(0,x,y) = w^{e(0)+x}+y

psi(x,y,z) = w^{e(x)+y}+z