Proofs Of Three Geode Conjectures

Published 22 Jun 2025 in math.CO | (2506.17862v1)

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.

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