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Numeration systems and fractal sequences. (English) Zbl 0834.11010

Every increasing sequence of positive integers with initial term 1 is a basis for a numeration system and generates a sequence called the paraphrase of that numeration system. Certain sequences of positive integers contain themselves as proper subsequences and are called fractal sequences. This article investigates those bases for which the paraphrase is a fractal sequence.

MSC:

11B75 Other combinatorial number theory
11B37 Recurrences
11A67 Other number representations
Full Text: DOI EuDML