that's cool never thought of before. there are an infinite number of similar examples and they are easy to construct. works like this consider an integer n. now call n! = k. now find k!. we know (k- 1)! = k!/k = k!/n!
that's it really or more generally (n!-1)! = (n!)!/n!
try it out it works
I like your solution, thank you for the reply, let me put it in my own words. 'We can always generate this kind of relationship if we take the factorial of a factorial.' Interesting that falls outside this generating pattern.
An example might be good...
18.104.22.168 = 24.
so if i include 22.214.171.124 in one series and exclude 24. Then in the other i include 24 but exclude 126.96.36.199
ie 188.8.131.52.9....23. 24 = 184.108.40.206.5.6....22.23
That makes sense.
In your is slightly different 6.5.4 = 220.127.116.11.1 because 4.6 = 18.104.22.168
we try 22.214.171.124.5 = 120 = 5.24
so 126.96.36.199.5.6.7.....23 = 188.8.131.52.9....23.24
i suppose there must be loads of ways to do this.
All very interesting though, I never really thought about that before.
Yes ! all this bymber theory stuff has interesting interconnections if only the human mind was capable of understanding it!