Discatenated and lacunary recurrences
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Published:2024-02-23
Issue:1
Volume:30
Page:8-19
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ISSN:1310-5132
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Container-title:Notes on Number Theory and Discrete Mathematics
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language:
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Short-container-title:NNTDM
Author:
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Akkuş HakanORCID,
Deveci ÖmürORCID,
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Özkan EnginORCID,
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Shannon Anthony G.,
Abstract
Recursive sequences with gaps have been studied previously. This paper considers some elementary properties of such sequences where the gaps have been created on a regular basis from sequence to sequence – ‘discatenated’ (systematic gaps) and ‘lacunary’ (general gaps). In particular, their generating functions are developed in order to open up their general terms and relations with other properties.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)