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Non-holonomicity of the sequence $\log 1, \log 2, \log 3, ...$

Martin Klazar
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Abstract

Gerhold conjectured and proved conditionally that (log n: n=1,2,...) is not a holonomic sequence. Flajolet, Gerhold and Salvy gave a proof using an analytic machinery. We give a simple proof.

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Martin Klazar. 2005-02-07. Non-holonomicity of the sequence $\log 1, \log 2, \log 3, ...$. https://arxiv.org/abs/math/0502141

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