I was playing around with some repeated logarithms for complex values and noticed that it always converged to the same value. A little bit of googling got this result, https://math.stackexchange.com/a/255727/458712. I'm a math novice, and I have enjoyed the videos on the Lambert W function. Is there any way to put this explanation into more layman's terms?
Math problem would be: z0 = i
z1 = ln(z0)
zn = ln(z(n-1))
Per the attached SE site, this converges to .3181315052−1.337235701i . The explanation in the link is a bit over my head, and could use some help getting to a better understanding.