User blog comment:B1mb0w/The S Function Version 2/@comment-27513631-20160617114926

Okay, so how would I reduce, say, $$S(3,0,1)$$?

Also, mind giving a definition for $$S_i$$, $$z$$ in the definition of $$dec$$, and $$A_m$$, $$A_i$$, $$B_i$$ and $$a_i$$ in the definition of the S function itself?