Discatenated and lacunary recurrences

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Akkuş H., Deveci Ö., Özkan E., Shannon A. G.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, cilt.30, sa.1, ss.8-19, 2024 (ESCI)

Özet

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.