English

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

Combinatorics 2007-05-23 v1 Classical Analysis and ODEs

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.

Cite

@article{arxiv.math/0502141,
  title  = {Non-holonomicity of the sequence $\log 1, \log 2, \log 3, ...$},
  author = {Martin Klazar},
  journal= {arXiv preprint arXiv:math/0502141},
  year   = {2007}
}

Comments

3 pages

R2 v1 2026-07-22T17:15:20.788Z