How to implement the sum of an infinite series over n from 1/(((nn + kk)(nn + kk)) in Mathematica?

Question

higher mathematics

Reference books contain the sum of an infinite series over all natural numbers n from the expression 1/(nn + kk).
I have a doubt about my sum of an infinite series of n from 1/(((nn + kk)(nn + kk)).
I did not find it in the reference books.
Is there an implementation of it in the Mathematica package, or how to implement it?
Thank you.

Answer 1

Sum[1/(n^2 + k^2)^2, {n, Infinity}]

https://www.bruot.org/tex2img/equations/pBTkYCMDeF...