$\prod_{i=1}^{n}(\prod_{j=i}^{n}\frac{i}{j})$
#Is it even possible to calculate this product 🤯🤯
rough tulip
hollow sundialBOT
shrewd scaffoldBOT
anastech
boreal jungle
Doesn’t look too hard
Inner part is (i/i)(i/i+1)(i/i+2)…(i/n)
Then just multiply those for each i from 1 to n.
Then simplify
rough tulip
You can't do that really
Especially, you get to a k! product for which there is no nice expression
rough tulip
@boreal jungle
boreal jungle
You can't do that really
You can do whatever you want
heady juniper
There are many simplifications to be done, like taking the i out of the inner product.
coral pawn
$$\prod_{i=1}^n\frac{i^{n-i}i!}{n!}$$
shrewd scaffoldBOT
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