Does a closed form exist for the following sum?
$\sum_{k=0}^{n}\lfloor\sqrt{k}\rfloor\lfloor\sqrt{k+P}\rfloor$
where $P$ is a positive odd integer. Would a closed-form be possible if the factorization of $P$ is known?
Does a closed form exist for the following sum?
$\sum_{k=0}^{n}\lfloor\sqrt{k}\rfloor\lfloor\sqrt{k+P}\rfloor$
where $P$ is a positive odd integer. Would a closed-form be possible if the factorization of $P$ is known?
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