Cover Image

Proofs Of Three Geode Conjectures

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Amdeberhan, Tewodros, Zeilberger, Doron
Format:	Preprint
Published:	2025
Subjects:	Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Challenge of Computing Geode Numbers
by: Amdeberhan, Tewodros, et al.
Published: (2025)

A Short Proof that the number of $(a,b)$-parking functions of length n $a(a+bn)^{n-1}$
by: Bu, AJ, et al.
Published: (2024)

A combinatorial proof of Cramer's Rule
by: Zeilberger, Doron
Published: (2024)

Every Fifth Real Number is Evil
by: Zeilberger, Doron
Published: (2025)

Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger
by: Rubine, Dean
Published: (2025)

Counting (and Randomly Generating) Hamiltonian Cycles in Rectangular Grids
by: Blanco, Pablo, et al.
Published: (2026)

Bijective and Automated Approaches to Abel Sums
by: Kalai, Gil, et al.
Published: (2024)

Enumerating Seating Arrangements that Obey Social Distancing
by: Spahn, George, et al.
Published: (2024)

Sprout Symmetric Functions: Part 1
by: Amdeberhan, Tewodros, et al.
Published: (2026)

Efficient Weighted Counting of Multiset Derangements
by: Ekhad, Shalosh B., et al.
Published: (2025)

Experimenting with the Garsia-Milne Involution Principle
by: Ekhad, Shalosh B., et al.
Published: (2025)

Solving Functional Equations Dear to W.T. Tutte using the Naive (yet fullly rigorous!) Guess And Check Method
by: Ekhad, Shalosh B., et al.
Published: (2024)

Exploring Werner Krandick's Binary Tree Jump Statistics
by: Ekhad, Shalosh B., et al.
Published: (2024)

The Jackson-Richmond 4CT Constant is EXACTLY 10/27
by: Ekhad, Shalosh B., et al.
Published: (2024)

In How Ways Can You Play Stanley Solitaire?
by: Ekhad, Shalosh B., et al.
Published: (2024)

Efficient Evaluations of Weighted Sums over the Boolean Lattice inspired by conjectures of Berti, Corsi, Maspero, and Ventura
by: Ekhad, Shalosh B., et al.
Published: (2024)

How to Answer Questions of the Type: If you toss a coin n times, how likely is HH to show up more than HT?
by: Ekhad, Shalosh B., et al.
Published: (2024)

Arithmetic properties for generalized cubic partitions and overpartitions modulo a prime
by: Amdeberhan, Tewodros, et al.
Published: (2024)

Congruences for sums of MacMahon's $q$-Catalan polynomials
by: Amdeberhan, Tewodros, et al.
Published: (2024)

Lots and Lots of Perrin-Type Primality Tests and Their Pseudo-Primes
by: Dougherty-Bliss, Robert, et al.
Published: (2023)

Automated Generation of Generating Functions Related to Generalized Stern's Diatomic Arrays in the footsteps of Richard Stanley
by: Ekhad, Shalosh B., et al.
Published: (2021)

Explicit Expressions for the First 20 Moments of the Area Under Dyck and Motzkin Paths
by: Bu, AJ, et al.
Published: (2024)

The $O(1/n^{85})$ Asymptotic expansion of OEIS sequence A85
by: Ekhad, Shalosh B., et al.
Published: (2024)

Statistical Analysis of Hairpins and BasePairs in RNA Secondary Structures
by: Bu, AJ, et al.
Published: (2026)

Automated Counting of Spanning Trees for Several Infinite Families of Graphs
by: Blanco, Pablo, et al.
Published: (2025)

Derivatives of theta functions as Traces of Partition Eisenstein series
by: Amdeberhan, Tewodros, et al.
Published: (2024)

How many coin tosses would you need until you get $n$ Heads or $m$ Tails?
by: Janson, Svante, et al.
Published: (2025)

Lattice paths and the Geode
by: Gessel, Ira M.
Published: (2025)

Further study on MacMahon-type sums of divisors
by: Amdeberhan, Tewodros, et al.
Published: (2024)

von Neumann and Newman Pokers with Finite Decks
by: Krityakierne, Tipaluck, et al.
Published: (2024)

Computing the 4D Geode
by: Rubine, Dean
Published: (2025)

Cutting 4 by $n$ grids into two congruent pieces
by: Dougherty-Bliss, Robert, et al.
Published: (2025)

Ordered trees and the Geode
by: Gossow, Fern
Published: (2025)

Quasimodular forms arising from Jacobi's theta function and special symmetric polynomials
by: Amdeberhan, Tewodros, et al.
Published: (2025)

Exercises for A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode
by: Rubine, Dean
Published: (2025)

The (Symbolic and Numeric) Computational Challenges of Counting 0-1 Balanced Matrices
by: Dougherty-Bliss, Robert, et al.
Published: (2024)

Hook lengths in self-conjugate partitions
by: Amdeberhan, Tewodros, et al.
Published: (2023)

A Proof of the Optimal Leapfrogging Conjecture
by: Miller, Sam K., et al.
Published: (2021)

Proof of Union-Closed Sets Conjecture
by: Blinovsky, Vladimir, et al.
Published: (2015)

Proof of a Conjecture on Young Tableaux with Walls
by: Lin, Zhicong, et al.
Published: (2026)