English

Generalised Ap\'ery numbers modulo $9$

Number Theory 2014-12-30 v1 Combinatorics

Abstract

We characterise the modular behaviour of (generalised) Ap\'ery number modulo 99, thereby in particular establishing two conjectures in "A method for determining the mod-3k3^k behaviour of recursive sequences" [arXiv:1308.2856].

Cite

@article{arxiv.1401.1444,
  title  = {Generalised Ap\'ery numbers modulo $9$},
  author = {C. Krattenthaler and Thomas W. Müller},
  journal= {arXiv preprint arXiv:1401.1444},
  year   = {2014}
}

Comments

AmS-LaTeX, 22 pages

R2 v1 2026-06-22T02:40:34.966Z