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arxiv: 2006.08013 · v1 · pith:G3MWQZYO · submitted 2020-06-14 · math.NT

On a recursively defined sequence involving the prime counting function

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classification math.NT
keywords definedsequencebiglbigrcountingfunctioninvolvingprime
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We prove some properties of the sequence $\{a_n\}_{n\ge1}$ defined by $a_n=\pi(n)-\pi\bigl(\textstyle\sum_{k=1}^{n-1}a_k\bigr).$

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