2022
DOI: 10.48550/arxiv.2204.04535
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Fibonacci-Catalan Series

Kunle Adegoke1,
Robert Frontczak2,
Taras Goy3

Abstract: We study certain series with Catalan numbers and reciprocal Catalan numbers, respectively, and provide seemingly new closed form evaluations of these series with Fibonacci (Lucas) entries. In addition, we state some combinatorial sums that can be inferred from the series.

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