Amr073's Hyper S Notation

The Hyper S Notation is a notation created by Amr073 (known as Thisisapasswordsothere on Googology wiki) on August 26, 2024.Amr073. Hyper S Notation Retrieved 2024-08-26.
== Definition ==
"#" means the rest of the array.
# S[a,b,0] = a+b
# S[a,b,<k zeros>,c] = S[a,S[a,b-1,<k zeros>,c],c-1]
# S[a,b,#,0,0] = S[a,b,#,b]
# S[a,b,#,c,<k zeros>,d] = S[a,b,#,<d (c-1)'s>,<k zeros>,n] where n=0 if c=1 or k>0, otherwise n=1.
== Example ==
* S[3,3,2,2] = S[3,3,1,1,1] = S[3,3,1,0,0] = S[3,3,1,3] = S[3,3,0,0,0,0] = S[3,3,0,0,3] = S[3,S[3,2,0,0,3],2] = S[3,S[3,S[3,1,0,0,3],2],2] = S[3,S[3,S[3,S[3,0,0,0,3],2],2],2] where S[3,0,0,0,3] = S[3,S[3,-1,0,0,3],2], S[3,-1,0,0,3] = S[3,S[3,-2,0,0,3],2] ... and calculation never ends.
== Sources ==
Category:Functions
Category:Notations
Category:Incomplete