User blog comment:Ikosarakt1/Analysis on Hyperfactorial array notation/@comment-5029411-20140406222921

Well? [1/w[1]] = phi(w,0)

[1,2/w[1]] = phi(w,0)*2

[1,1,2/w[1]] = phi(w,0)^2

[1,1,1,2/w[1]] = phi(w,0)^phi(w,0)

[1/w[1,2]] = phi(w,1)

[1/w[1/w[1]]] = phi(w,phi(w,0))

[1(1)2] = phi(w+1,0)

[1/w[1](1)2] = phi(w,phi(w+1,0)+1)

[1/w[1(1)2](1)2] = phi(w,phi(w+1,0)*2)

[1/w[1/w[1(1)2](1)2](1)2] = phi(w,phi(w,phi(w+1,0)*2))

[1(1)3] = phi(w+1,1)

[1(1)1,2] = phi(w+2,0)

[1(1)1/w[1]] = phi(w*2,0)

[1(1)1(1)2] = phi(w*2+1,0)

[1/w(1)[1]] = phi(w^2,0)

[1(2)2] = phi(w^2+1,0)

[1([1])2] = phi(w^w,0)

[1([21,2])2] = phi(1,0,0)

[1([21,3])2] = phi(2,0,0)

[1([21,1,2])2] = phi(1,0,0,0)

[1([21,1,1,2])2] = theta(W^W)

[1([21/w[1]])2] = theta(theta_1(w))

[1([21(1)2])2] = theta(theta_1(w+1))

[1([21([21,2])2])2] = theta(theta_1(W))