English

Proofs Of Three Geode Conjectures

Combinatorics 2025-06-24 v1

Abstract

In the May 2025 issue of the Amer. Math. Monthly, Norman J. Wildberger and Dean Rubine intoduced a new kind of multi-indexed numbers, that they call `Geode numbers', obtained from the Hyper-Catalan numbers. They posed three intriguing conjectures about them, that are proved in this note.

Cite

@article{arxiv.2506.17862,
  title  = {Proofs Of Three Geode Conjectures},
  author = {Tewodros Amdeberhan and Doron Zeilberger},
  journal= {arXiv preprint arXiv:2506.17862},
  year   = {2025}
}

Comments

9 pages

R2 v1 2026-07-01T03:28:06.250Z