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August 9, 20240 citationsOpen Access

Integers represented by binary recursive sequences

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LHL. HajduRTR. Tijdeman

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Abstract

This paper is the continuation of htl, where we deal with Lucas sequences. Here we study integers represented by integer sequences which satisfy binary recursive relations. In case of non-degenerate sequences we give bounds for the highest index for which a term can be 0 and bounds on the growth order of the absolute values of the terms, both only in terms of the two initial values, which is a novel feature. Some of these bounds are best possible apart from a multiplicative constant.

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Cite This Study

Hajdu et al. (2024) studied this question.

synapsesocial.com/papers/68e5cfe5b6db643587565ceahttps://doi.org/10.48550/arxiv.2408.04986
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