Sums of bases-exponents positive integer powers

A. Zanoni; M. Zanoni

doi:10.2478/auom-2026-0025

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Sums of bases-exponents positive integer powers

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 34 (2026): Issue 2 (July 2026)

By: A. Zanoni and M. Zanoni

Open Access

|Jul 2026

Abstract

We consider natural numbers that can be represented as sums of positive integer powers greater than 1, such that the set of bases coincides with the set of exponents. We address this issue by indicating some equalities and relations, defining some new integer sequences recently introduced in the OEIS, reporting some experimental results and showing some graphs regarding the obtained numbers.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2026-0025 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 197 - 210

Submitted on: Sep 21, 2025

Accepted on: Nov 30, 2025

Published on: Jul 11, 2026

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

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© 2026 A. Zanoni, M. Zanoni, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 34 (2026): Issue 2 (July 2026)