Here are Self-pentations:
1^^^1=1
2^^^2=4
3^^^3=10^(log(3)×10^(....))... 7.62T more layers...
4^^^4=10^(log(4)×10^(....))... 10....154 more layers...
5^^^5=10^(log(5)×10^(....))... 10....2184 more layers...
6^^^6=10^(log(6)×10^(log(6)×10^(....))... 6^^6 more layers...
7^^^7=10^(log(7)×10^(log(7)×10^(....))...
7^^7 more layers