So you use the Fibonacci series to get to 5, but then you break up the pattern once you get to 5!?!?! THEN you take two OF THE SAME pile(5) to get to 10^1. Then you take 10!!!! of the 10^1 to get to 10^2. Hardly seem logical to have three different way of grouping the beans. Looks to me like this guy is trying to shoe horn this counting system into base 10 when it doesn't have to be.
The Japanese language contains remnants of a system whereby different classes of things were given numerical values according to totally different words and systems.
This characteristic makes Japanese a bit difficult to learn.
I've always wondered what the original systems looked like ~ maybe this is a clue.