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Q: By Wolfram $N(n,p)=\Big \lfloor \sqrt p\lfloor n(\sqrt p +p) \rfloor \Big\rfloor$ is even for p=2 with some values of n , it's always true?

ceriseLet n and p be two nonnegative integers and put $N(n,p)=\Big \lfloor \sqrt p\lfloor n(\sqrt p +p) \rfloor \Big\rfloor$. $N(n,p)$ is not necessarily even when p is even [see] But it's seems that $N(n,2)$ is even forall n. It's true ?

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