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2025/107/1-2 (14) — DOI: 10.5486/PMD.2025.10178 — pp. 237-254

A remark on Penney's algorithm

Authors: Horst Brunotte

Abstract:

Based on the well-known algorithm of W. Penney, we determine the set of lengths of the canonical representation of integers with respect to particular trinomials of even degrees.

Keywords: integer representation, canonical representation, radix representation

Mathematics Subject Classification: 11A63, 11A67, 11C08, 11R11