User blog comment:Alejandro Magno/SPECIAL! FGH of Hyperion Notation/@comment-5029411-20140926000203/@comment-5029411-20140926220830

(1[1]1)#n ~ fphi(w,0)*w(n)

(0,1[1]1)#n ~ fphi(w,0)*e 0 (n)

(0[1]2)#n ~ fphi(w,0)^2(n)

(0[1](0))#n ~ fphi(w,0)^w(n)

(0[1]0[1]1)#n ~ fphi(w,0)^phi(w,0)(n)

(0[1]1[1]1)#n ~ fphi(w,0)^(phi(w,0)+1)(n)

(0[1]0[1]2)#n ~ fphi(w,0)^(phi(w,0)*2)(n)

(0[1]0[1]0[1]1)#n ~ fphi(w,0)^phi(w,0)^2(n)

(0[1]0[1]0[1]0[1]1)#n ~ fphi(w,0)^phi(w,0)^3(n)

(0[2]1)#n ~ fphi(w,0)^phi(w,0)^w(n)

(0[3]1)#n ~ fphi(w,0)^phi(w,0)^w^2(n)

(0[(0)]1)#n ~ fphi(w,0)^phi(w,0)^w^w(n)

(0[(0[1]1)]1)#n ~ fphi(w,0)^phi(w,0)^phi(w,0)(n)

(0[0,1]1)#n ~ fe phi(w,0)+1 (n) (Limit of Multi-Dimensional Brace Hyperion Notation)

(0[0,2]1)#n ~ fe phi(w,0)+2 (n)

(0[0,0,1]1)#n ~ fz phi(w,0)+1 (n)

(0[0[1]1]1)#n ~ fphi(w,1)(n)

(0[0[0[1]1]1]1)#n ~ fphi(w,2)(n)

(0,11)#n ~ fphi(w,w)(n) (Limit of Nested Brace Hyperion Notation)