Question: sum of 1/(i*j*k)

Hello everyone,

I'm currently exploring the properties of a sum in Maple, and I was wondering how to obtain the values of the following sum:

sum 1/(i*j*k*) such that 1<=i+j+k<= n 

I'm interested in the values of this sum for a given n. How can I express this efficiently in Maple?

Thanks in advance for your help!

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