User blog comment:Alejandro Magno/My -illion is bigger!/@comment-4297047-20140923191653/@comment-25371339-20140923193739

I just generalized the H* rules to H**, if you ask me.

The rules for H*** works the same as the H** rules, but here's the explanation:

H***(n) = H**(n,n,n,...,n,n,n) with n entries.

Let H***(n,0) equal H***(n), H***(n,m+1) equal HH***(n,m)(n), H***(a,b,…,c,1) equal H***(a,b,…,c), and H***(a,…,b,c,d) equal H***(a,…,b,H***(a,…b,c,d-1)).

Hyperhyphyphypillion (short Hyper-trihypillion) = H***(10,10,10,10,10,10,10,10,10,10) = H****(10)