On members of Lucas sequences which are products of Catalan numbers

Laishram, Shanta; Luca, Florian; Sias, Mark

doi:10.48550/arxiv.2006.01756

2020

DOI: 10.48550/arxiv.2006.01756

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On members of Lucas sequences which are products of Catalan numbers

Shanta Laishram¹,

Florian Luca²,

Mark Sias³

Abstract: We show that if {U n } n≥0 is a Lucas sequence, then the largest n such thatwhere C m is the mth Catalan number satisfies n < 6500. In case the roots of the Lucas sequence are real, we have n ∈ {1,

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On members of Lucas sequences which are products of Catalan numbers

Abstract: We show that if {U n } n≥0 is a Lucas sequence, then the largest n such thatwhere C m is the mth Catalan number satisfies n < 6500. In case the roots of the Lucas sequence are real, we have n ∈ {1,

Cited by 0 publications

References 6 publications

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