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$\begingroup$ "Actually the true...": Are you suggesting that something is untrue in my solution? I did a sanity check via WolframAlpha that your double sum matches my square of a sum for $a=3$.. $\endgroup$
– RobPratt
Commented Nov 17, 2019 at 19:05
$\begingroup$ @RobPratt No but your answer was not a finite expression for the sum in question in terms of exponential functions which was the case for a=1 and a=2 in the OP's question. $\endgroup$
– Ivan Meir
Commented Nov 17, 2019 at 19:17
$\begingroup$ Right, I didn't complete the computation for $a=3$ and instead gave a result for general $a$ in terms of the square of a finite sum of exponentials. $\endgroup$
– RobPratt
Commented Nov 17, 2019 at 19:19

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