User blog:Syst3ms/A formal interpretation of Y sequence : F sequence

The F stands for many things and not necessarily the ones you might think about. The reason I named it differently is because my personal interpretation will diverge from conventional Y sequence starting at (1,3,3)

The definition shown here works for every sequence smaller than (1,2,4,8,16,...)

This is more a program than anything else, but it works either way

We first let \(S_0=(S_1,\ldots,S_i)\) And that is it for now !
 * 1) If \(S_0\) is empty, \(S[a]=a\)
 * 2) Else if \(S_i=1\) then \(S[a]=(S_1,\ldots,S_{i-1})[a+1]\)
 * 3) Else, let \(r=0,S_x=S_{0,x}\):
 * 4) Let \(j = \max\{k : S_{r,k}0\), go to step 3.4, the reconstruction process
 * 10) Else:
 * 11) For all \(n \in [1,i-1]\) :
 * 12) \(S_{r+1,n}=S_{r,n+1}-S_{r,m}\) where \(m = \max\{k0\):
 * 19) Increment \(i\) and decrement \(r\)
 * 20) Let \(C_1=1\)
 * 21) For all \(n \in [2,i]\):
 * 22) \(C_n=S_{r+1,n-1}+C_{n-O_{r,n-1}}\)
 * 23) \(S_r=(C_1,\ldots,C_i)\)
 * 24) Go back to step 1