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Question: difficult sum for Maple

Question:difficult sum for Maple

J F Ogilvie 258 Maple 2020
sum
December 13 2020
0

Maple seems to have difficulty computing this sum, which occurs in molecular physics of the H atom.

fd := j -> 2^8*j^5*(j-1)^(2*j-4)/(3*(j+1)^(2*j+4));

sum(fd(n)*ln(1-1/n^2), n=2..infinity);

Can anybody discover a solution, please?
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