Discatenated and lacunary recurrences
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS(2024)
摘要
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.
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关键词
Fibonacci numbers,Lucas sequences,Lacunary,Primordial sequences,Recurrence relations
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