User blog:Ynought/Extended array hierarchy

If you havent seen the original one here it is:https://googology.wikia.com/wiki/User_blog:Ynought/Array_hierarchy

\(\bullet\) is anything that is already well defined at that point

any 0 gets deleted

\((\bullet)_{\bullet_20\bullet_3}=(\bullet)_{\bullet_2\bullet_3}\)

\(a,b,c…,d)_{e,f…,g}=((a+d,b+d,c+d,...,d+d),(a+d,b+d,c+d,...,d+d)...(a+d,b+d,c+d,...,d+d))_{e+d,f+d…,e+d,d-1}\)

you can even create stuff like this \(\bullet)_{(\bullet_2)_{\dots_{\bullet_k}}}\)

so now i will be adding a couple of new ideas

\((\bullet)^0_{(bullet_2)}=(\bullet)_{(\bullet_2)_{(\bullet)_{(\bullet_2)\dots}}} with a nests

and \((\bullet)^k_{(bullet_2)}=(\bullet)^{k-1}_{(\bullet_2)^{k-1}_{(\bullet)^{k-1}_{(\bullet_2)^{k-1}\dots}}} with a nests

well now:

\(a,b,c…,d)^{(e,f…,g)}_\bullet=((a+d,b+d,c+d,...,d+d)^{e+d,f+d…,e+d,d-1}_\bullet\)',(a+d,b+d,c+d,...,d+d)^{e+d,f+d…,e+d,d-1}_\bullet\)'...(a+d,b+d,c+d,...,d+d)^{e+d,f+d…,e+d,d-1}_\bullet\))^{e+d,f+d…,e+d,d-1}\)