Dubickas, Artūras (2024) On a sequence of rational numbers with unusual divisibility by a power of 2. Miskolc Mathematical Notes, 25 (1). pp. 203-208. ISSN 1787-2413
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Official URL: https://doi.org/10.18514/MMN.2024.4276
Abstract
In this note we consider the sequence of rational numbers b_n = ∑_{k=1}^{n} 2^k∕k. We show that the power of 2 in the expansion of bn is unusually large, at least n + 1 − log2(n + 1), and that this bound is best possible. The sequence bn, n = 1,2,3,…, is related to the sequence A0031449 in the On-Line Encyclopedia of Integer Sequences.
Item Type: | Article |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
Depositing User: | Kotegelt Import |
Date Deposited: | 04 Jun 2024 09:30 |
Last Modified: | 04 Jun 2024 09:30 |
URI: | https://real.mtak.hu/id/eprint/196467 |
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