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 Author: Grigorios Kostakos [ Sat Jan 20, 2018 5:16 am ] Post subject: Subsequences Prove that the sequence $\alpha_n=\lfloor{\rm{e}}^n\rfloor\,,\; n\in\mathbb{N}$, where $\lfloor{\cdot}\rfloor$ is the floor function, has a subsequence with all its terms to being odd numbers and a subsequence with all its terms to being even numbers.Note: I don't have a solution.

 Author: Grigorios Kostakos [ Sun Jan 28, 2018 12:58 am ] Post subject: Re: Subsequences It seems that here we have an open problem. SeeSalem numbers and uniform distribution modulo 1

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