All the papers (and lectures) listed here are exclusively published in this website (and many are also in arxiv.org, but not in a "regular" journal), unless noted otherwise.

• Solving Functional Equations Dear to W.T. Tutte using the Naive (yet fullly rigorous!) Guess And Check Method By Shalosh B. Ekhad and Doron Zeilberger

• Efficient Evaluations of Weighted Sums over the Boolean Lattice inspired by conjectures of Berti, Corsi, Maspero, and Ventura By Shalosh B. Ekhad and Doron Zeilberger

• The Jackson-Richmond 4CT Constant is EXACTLY 10/27 By Shalosh B. Ekhad and Doron Zeilberger

• Implementing and Experimenting with the Calabi-Wilf algorithm for random selection of a subspace over a finite field By Shalosh B. Ekhad and Doron Zeilberger

• Explicit Expressions for Moments of the Duration of a 3-Player Gambler's Ruin By Shalosh B. Ekhad and Doron Zeilberger

• What is Algebraic Combinatorics and What Should It Be (talk given to commemorate 30 years of the Journal of Algebraic Combinatorics) By Doron Zeilberger

• Counting Clean Words According to the Number of Their Clean Neighbors By Shalosh B. Ekhad and Doron Zeilberger

• Marko Petkovsek (1955-2023), My A=B Mate By Doron Zeilberger

• Experimenting with Standard Young Tableaux By Shalosh B. Ekhad and Doron Zeilberger

• Experimenting with the Dym-Luks Ball and Cell Game (almost) Sixty Years Later By Shalosh B. Ekhad and Doron Zeilberger

• Outline and Links for (an unrecorded Zoom) Talk "Mathematics is an Older Person Game!" (Purdue History of Mathematics Seminar, Dec. 9, 2022) By Doron Zeilberger

• All the Years when the Z family will have ALL prime Birthdays By Shalosh B. Ekhad

• The Average AMS fellow who died before Aug. 2022 lived 83.36 years, published 98.53 papers, and was cited 2473.23 times By Livia A. Stone and Doron Zeilberger

• A Maple package for Fast Computations of Certain Poincare Series Introduced by Allan Berele in the Theory of Polynomial Identity Rings and Invariant Theory By Shalosh B. Ekhad and Doron Zeilberger

• Computing Determinants Involving Stirling Numbers By Tewodros Amdeberhan and Shalosh B. Ekhad

• Extending the Larcombe Matrix for Cohort Sequences of Solutions of Linear Recurrences with Constant Coefficients to Higher Orders By Shalosh B. Ekhad

• Five More Proofs of the Cosine Addition Formula (Inspired by Mark Levi's Perpetuum Mobile Proof) By Doron Zeilberger

• Linear-Time and Constant-Space Algorithms to compute Multi-Sequences that arise in Enumerative Combinatorics (and Elsewhere)   By Shalosh B. Ekhad and Doron Zeilberger

• A Linear Time, and Constant Space, Algorithm to Compute the Mixed Moments of the Multivariate Normal Distributions   By Shalosh B. Ekhad and Doron Zeilberger

• Automated Counting and Statistical Analysis of Labeled Trees with Degree Restrictions   By Shalosh B. Ekhad and Doron Zeilberger

• Automating John P. D'Angelo's method to study Complete Polynomial Sequences   By Shalosh B. Ekhad and Doron Zeilberger

• An Experimental (yet fully rigorous!) Study of a certain "Measure Of Disarray" that 12-year Noga Alon Proved was always Even   By Shalosh B. Ekhad and Doron Zeilberger

• Automatic Generation of Convolution Identities for C-finite sequences   By Shalosh B. Ekhad and Doron Zeilberger

• Numeric and Symbolic Programming in Lattice Paths Enumeration [Videotaped lecture]   By Doron Zeilberger

• A One-Line Proof of Leversha's ``Quartet of Isogonal Conjugates" Theorem   By Shalosh B. Ekhad

• The Centipede and Braess Paradoxes [Videotaped lecture]   By Doron Zeilberger

• Some Deep and Original Questions about the "critical exponents" of Generalized Ballot Sequences   By Shalosh B. Ekhad and Doron Zeilberger

• Proof of the Riemann Hypothesis, the NP ≠ P conjecture, the Goldbach Conjecture and the Irrationality of γ [Videotaped lecture]   By Doron Zeilberger

• Automated Generation of Generating Functions Related to Generalized Stern's Diatomic Arrays in the footsteps of Richard Stanley   By Shalosh B. Ekhad and Doron Zeilberger

• A Bijective Proof of Richard Stanley's Observation that the sum of the cubes of the n-th row of` Stern's Diatomic array equals 3 times 7^n-1 By Shalosh B. Ekhad and Doron Zeilberger

• How to get the right answer with as few questions as possible? [videotaped lecture] By Doron Zeilberger

• Two Quick Proofs of a Catalan Lemma Needed by Lisa Sauermann and Yuval Wigderson By Shalosh B. Ekhad and Doron Zeilberger

• Automatic Solving of Cubic Diophantine Equations Inspired by Ramanujan By Shalosh B. Ekhad and Doron Zeilberger

• Counting Standard Young Tableaux With Restricted Runs   By Manuel Kauers and Doron Zeilberger

• Automatic Counting of Restricted Dyck Paths via (Numeric and Symbolic) Dynamic Programming By Shalosh B. Ekhad and Doron Zeilberger

  A Mathematical Analysis of Mathematical Faculty   By Victoria Chayes, Dodam Ih, Yukun Yao, Doron Zeilberger, and Tianhao Zhang

• A new world record for the irrationality measure of Pi (Videotaped lecture) By Doron Zeilberger

• The sequence that started it all (Videotaped lecture) By Doron Zeilberger

• The Absent-Minded Passengers Problem via Computer Algebra By Shalosh B. Ekhad and Doron Zeilberger

• Algorithmic Proofs of Two Curious Integral Identities of George Gasper and Michael Schlosser by Shalosh B. Ekhad

• Dick Askey: A Special Guru Indeed by Doron Zeilberger

• Using Symbolic Computation to analyze some Children's Board Games by Shalosh B. Ekhad and Doron Zeilberger

• Guessing the Elusive Patterns in the Slater-Valez sequence (aka OEIS A081145) by Shalosh B. Ekhad and Doron Zeilberger

• On the Average Maximal Number of Balls in a Bin Resulting from Throwing r Balls into n Bins T times by Amir Behrouzi-Far and Doron Zeilberger

• A Mathematical Analysis of Mathematical Salaries and More Victoria Chayes, Tong Cheng, Terence Coelho, Quentin Dubroff, Dodam Ih, Joe Olsen, Jason Saied, Yukun Yao, Doron Zeilberger and Tianhao Zhang

• What is Pi and what it is not (a videotaped lecture)   By Doron Zeilberger

• Some Remarks on a recent article by J. -P. Allouche   By Shalosh B. Ekhad and Doron Zeilberger

• A Detailed Analysis of Quicksort Running Time   By Shalosh B. Ekhad and Doron Zeilberger

• Answers to Some Questions about Explicit Sinkhorn Limits posed by Mel Nathanson   By Shalosh B. Ekhad and Doron Zeilberger

• Explicit Polynomial Expressions for the Enumeration of 3 by 4 and 3 by 5 Semi-Magic Rectangles   By Shalosh B. Ekhad and StudentsOfDrZ ExpMathClass

• In How many ways can I carry a total of n coins in my two pockets, and have the same amount in both pockets?   By Shalosh B. Ekhad and Doron Zeilberger

• The ``Monkey Typing Shakespeare" Problem for Compositions   By Shalosh B. Ekhad and Doron Zeilberger

• An Ultra-Finitistic Foundation of Probability (Videotaped lecture)   By Doron Zeilberger

• Proof of a Conjecture of Neil Sloane Concerning Claude Lenormand's ``Raboter" Operation (OEIS sequence A318921)   By Doron Zeilberger

  An Experimental Mathematics Approach to Truncated Riemann Zeta Function   Edna L. Jones, Yukun Yao, and Doron Zeilberger

  Normalized Iterated Averaging Polygons   By Yonah Biers-Ariel, Matthew P. Charnley, Brooke Logan, Anthony Zaleski, and Doron Zeilberger

• Fractional Counting of Integer Partitions   By Doron Zeilberger and Noam Zeilberger

• All the Winning Bites for a by b Chomp for a and b up to 14 and Two Computational Challenges   By Shalosh B. Ekhad and Doron Zeilberger

• How Many Exciting Soccer Games are there with score (N+1,N)?   By Doron Zeilberger (Notes of Lecture given at Math Leagues Math Camp, July 23, 2018)

• Two Hankel Determinants Dear to Volodia Retakh   By Shalosh B. Ekhad and Doron Zeilberger

• A Maple Rendition of George Polya's Elementary Proof of the Modularity of the Theta Function   By Dr. Z.'s Experimental Mathematics Spring 2018 class

• On the Intriguing Problem of Counting (n+1,n+2)-core partitions into Odd Parts   By Anthony Zaleski and Doron Zeilberger

• How Many Rounds Should You Expect in Urn Solitaire? By Shalosh B. Ekhad and Doron Zeilberger

• A Treatise on Sucker's Bets By Shalosh B. Ekhad and Doron Zeilberger

• CNF-DNF and all that (Videotaped Lecture) By Doron Zeilberger

• Automated Generation of Anomalous Cancellations   By Shalosh B. Ekhad

• Automated Proofs of Many Conjectured Recurrences in the OEIS made by R.J. Mathar   By Shalosh B. Ekhad, Mingjia Yang and Doron Zeilberger

• A 0.2-Seconds proof of the Main Result of a 17-page Article that Appeared in the May 2017 volume of the journal Advances in Applied Mathematics   By Shalosh B. Ekhad

• The Dayenu Boolean Function Is Almost Always True!   By Doron Zeilberger

• Counting Permutations that Avoid Many Patterns   By Yonah Biers-Ariel, Haripriya Chakraborty, John Chiarelli, Bryan Ek, Andrew Lohr, Jinyoung Park, Justin Semonsen, Richard Voepel, Mingjia Yang, Anthony Zaleski, and Doron Zeilberger

• Automated Derivation of Limiting Distributions Of Combinatorial Random Variables Whose Generating Functions are Rational By Doron Zeilberger

• The Experimental Mathematics of Voting (Videotaped Lecture) By Doron Zeilberger

• Why the Cautionary Tales Supplied by Richard Guy's Strong Law of Small Numbers Should not be Overstated By Doron Zeilberger

• Automated Proof (or Disproof) of Linear Recurrences Satisfied by Pisot Sequences By Shalosh B. Ekhad, N. J. A. Sloane and Doron Zeilberger

• Jonathan Borwein(1951-2016) a PiONEER of Experimental Mathematics (Videotaped Lecture) By Doron Zeilberger

• Going Back to Neil Sloane's FIRST LOVE (OEIS Sequence A435): On the Total Heights in Rooted Labeled Trees By Shalosh B. Ekhad and Doron Zeilberger

• A Motivated Rendition of the Ellenberg-Gijswijt Gorgeous proof that the Largest Subset of F₃ⁿ with No Three-Term Arithmetic Progression is O(cⁿ), with c=2.75510461302363300022127... By Doron Zeilberger

• On the Most Commonly-Occurring Score Vectors of American Tournaments of n-players, and their Corresponding Records By Shalosh B. Ekhad

• On the number of Singular Vector Tuples of Hyper-Cubical Tensors By Shalosh B. Ekhad and Doron Zeilberger

• Doron Gepner's Statistics on Words in {1,2,3}^* is (Most Probably) Asymptotically Logistic By Doron Zeilberger

• Krishna Alladi's Early Love: Irrationality Measures of Famous Constants [Videotaped lecture] By Doron Zeilberger

• A Diatribe against the "Law" of the Excluded Middle [Videotaped lecture] By Doron Zeilberger

• The C-finite Ansatz Meets the Holonomic Ansatz By Shalosh B. Ekhad and Doron Zeilberger

• The Babylonian vs. the Greek Approaches to Computer Proofs [Videotaped Lecture] By Doron Zeilberger

• Computerizing the Andrews-Fraenkel-Sellers Proofs on the Number of m-ary partitions mod m (and doing MUCH more!) By Shalosh B. Ekhad and Doron Zeilberger

• Searching for Disjoint Covering Systems with Precisely One Repeated Modulus By Shalosh B. Ekhad, Aviezri S. Fraenkel, and Doron Zeilberger

• Doron Zeilberger Interviewed by Ron Aharoni

• To Think in a Symbolic-Computational Way.. [Videotaped Lecture] , By Doron Zeilberger

• 25 Years of Wilf-Zeilberger Theory in 48 minutes [Videotaped Lecture] , By Doron Zeilberger

• Explicit Expressions for the Variance and Higher Moments of the Size of a Simultaneous Core Partition and its Limiting Distribution , By Shalosh B. Ekhad and Doron Zeilberger

• Wilf's "Snake Oil" Method Proves an Identity In The Motzkin Triangle , By Tewodros Amdeberhan, Moa Apagodu, and Doron Zeilberger

• The Black-Scholes Equation WITHOUT Tears (or Probability!) , By Doron Zeilberger

• Proof of Kyle Petersen's Amazing Conjecture Relating the q- and Fibonacci Analogs of n! , By Doron Zeilberger

• Proofs of the Riemann Hypothesis and of "P is NOT EQUAL to NP" [Videotaped Lecture] , By Doron Zeilberger

• The number of 1...d-avoiding permutations of length d+r for SYMBOLIC d but numeric r , By Shalosh B. Ekhad, Nathaniel Shar, and Doron Zeilberger

• A Very Short (Bijective!) Proof of Touchard's Catalan Identity , By Amitai Regev, Nathaniel Shar, and Doron Zeilberger

• Odd-Rule Cellular Automata on the Square Grid, By Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger

• A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd-Rule Cellular Automata By Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger

• The Method(!) of "Guess and Check" By Shalosh B. Ekhad and Doron Zeilberger

• Guess and Check(!) [Videotaped Lecture] By Doron Zeilberger

• Generalizing A Putnam 2014 Question By Tewodros Amdeberhan and Shalosh B. Ekhad

• An Empirical Method for Solving (rigorously!) Algebraic Functional Equations Of the Form F(P(x,t), P(x,1),x,t)=0 By Ira M. Gessel and Doron Zeilberger (posted Dec. 28, 2014)

• The Generating Functions Enumerating 12..d-Avoiding Words with r occurrences of each of 1,2, ..., n are D-finite for all d and all r By Shalosh B. Ekhad and Doron Zeilberger (posted Dec. 5, 2014)

• A Quick Empirical Reproof of the Asymptotic Normality of the Hirsch Citation Index (First proved by Canfield, Corteel, and Savage) By Shalosh B. Ekhad and Doron Zeilberger (posted Oct. 31, 2014)

• Two Motivated Concrete Proofs (much better than the usual one) that the Square-Root of 2 is Irrational By Doron Zeilberger (posted Oct. 7, 2014)

• Some Mathematical Footnotes to Zvi Artstein's Masterpiece ``Mathematics and the Real World" By Doron Zeilberger (posted Oct. 7, 2014)

• Dominique Foata: A Neoclassical Giant (Videotaped Lecture) By Doron Zeilberger (posted Oct. 2, 2014)

• Sketch of a Proof of an Intriguing Conjecture of Karola Mészáros and Alejandro Morales Regarding the Volume of the D_n Analog of the Chan-Robbins-Yuen Polytope By Doron Zeilberger (posted July 10, 2014)

• There are (r+1)(r+2)(2r+3)(r²+3r+5) Ways For the Four Teams of a World Cup Group to Each Have r Goals For and r Goals Against [Thanks to the Soccer Analog of Prop. 4.6.19 of Richard Stanley's (Classic!) EC1] By Shalosh B. Ekhad and Doron Zeilberger (posted July 7, 2014)

• Enumerative Geometrical Genealogy (Or: The Sex Life of Points and Lines) By Shalosh B. Ekhad and Doron Zeilberger (posted June 19, 2014)

• Statistical Analysis of the Ages of Noah's MALE Ancestors and a Probabilistic Proof That Enoch's Premature Death was Indeed an Act of God By Shalosh B. Ekhad (posted June 4, 2014)

• Searching for Apéry-Style Miracles [Using, Inter-Alia, the Amazing Almkvist-Zeilberger Algorithm] By Shalosh B. Ekhad and Doron Zeilberger (posted May 17, 2014)

• The Past and Future of Enumerative Combinatorics [Videotaped Lecture] By Doron Zeilberger (posted April 7, 2014)

• Automatic Proofs of Asymptotic ABNORMALITY (and much more!) of Natural Statistics Defined on Catalan-Counted Combinatorial Families By Shalosh B. Ekhad and Doron Zeilberger (posted March 21, 2014)

• How to get Better and Better Rational Approximations to Pi Without Cheating By Shalosh B. Ekhad (posted March 14, 2014)

• Proofs are dead, long live algorithms [Videotaped Lecture] By Doron Zeilberger (posted Feb. 18, 2014)

• Two One-Line Proofs of Heron's Formula that Says that the Area-Squared of a Triangle is (a+b+c)(a+b-c)(a+c-b)(b+c-a)/16 By Shalosh B. Ekhad and Doron Zeilberger (posted Jan. 20, 2014) .

• A Conjectured Explicit Determinant Evaluation Whose Proof Would Make Us Happy (and the OEIS richer) By Douglas Hofstadter and Doron Zeilberger (posted Jan. 7, 2014, revised April 17, 2014)

• George Eyre Andrews (b. Dec. 4, 1938): A Reluctant REVOLUTIONARY [Videotaped Lecture] By Doron Zeilberger (posted Dec. 10, 2013)

• How to Extend Károlyi and Nagy's BRILLIANT Proof of the Zeilberger-Bressoud q-Dyson Theorem in order to Evaluate ANY Coefficient of the q-Dyson Product By Shalosh B. Ekhad and Doron Zeilberger (posted Aug. 15, 2013)

• Generalizing and Implementing Michael Hirschhorn's AMAZING Algorithm for Proving Ramanujan-Type Congruences By Edinah K. Gnang and Doron Zeilberger (posted June 27, 2013)

• On a Conjecture of Melkamu Zeleke By Shalosh B. Ekhad (posted April 19, 2013)

• A Short Proof of a Ptolemy-Like Relation for an Even number of Points on a Circle Discovered by Jane McDougall By Marc Chamberland and Doron Zeilberger (posted April 16, 2013)
  [Also appeared (with a shorter title) in Amer. Mathematical Monthly v. 121(2014), 263-265]

• On Euler's "Misleading Induction", Andrews' "Fix", and How to Fully Automate them By Shalosh B. Ekhad and Doron Zeilberger (posted April 3, 2013)

• How To Generate As Many Somos-Like Miracles as You Wish By Shalosh B. Ekhad and Doron Zeilberger (posted March 21, 2013) [Also appeared in J. Difference Equations and Applications 20 (2014), 852-858 (in a special issue in honor of Gerry Ladas)]

• How I Need a Drink, Alcoholic Of Course, After the Heavy Lectures Involving ... (Videotaped lecture) By Doron Zeilberger (posted March 20, 2013)

• A Quick (.1 seconds!) Proof of Gigoujeu's Two-Circle Theorem By Shalosh B. Ekhad (posted March 17, 2013)

• A (Human!) Proof of A Conjectured Triple Sum Identity Made By Juan Sebastian Pereyra By Doron Zeilberger (posted March 5, 2013)

• A Proof in the Style of George Andrews (and G. H. Hardy, and Unfortunately MANY other, otherwise very smart, people) that 1+1+...+1 (n+1 times)= n+1 By Doron Zeilberger(posted Jan. 3, 2013)

• Automated Counting of Towers (À La Bordelaise) [Or: Footnote to p. 81 of the Flajolet-Sedgewick Chef-d'œuvre] By Shalosh B. Ekhad and Doron Zeilberger(posted Dec. 17, 2012)

• Pick Up Sticks By Larry Shepp, Doron Zeilberger, and Cun-Hui Zhang (posted Oct. 16, 2012)

• The Amazing 3ⁿ Theorem and its even more Amazing Proof [Discovered by Xavier G. Viennot and his École Bordelaise gang] By Doron Zeilberger (posted Aug. 10, 2012)

• Joyal's Proof of Cayley's Formula By Gyu Eun Lee and Doron Zeilberger (posted July 18, 2012)

• The Rise and Fall of Astrology and the Future Fall of the so-called Infinity(Videotaped lecture) By Doron Zeilberger (posted March 29, 2012)

• The Joy of Dreaming to be Famous (Videotaped lecture) By Doron Zeilberger (posted March 1, 2012)

• The Composition Enumeration Reciprocity Theorem By Doron Zeilberger (Written Feb. 28, 2012)

• Computational and Theoretical Challenges on Counting Solid Standard Young Tableaux By Shalosh B. Ekhad and Doron Zeilberger (Written Feb. 20, 2012)

• The number of m-Dimensional Partitions of Eleven and Twelve By Shalosh B. Ekhad (Written Feb. 15, 2012)

• A Maple One-Line Proof of George Andrews's Formula that Says that the Number of Triangles with Integer Sides Whose Perimeter is n Equals {n²/12} -[n/4][(n+2)/4] By Shalosh B. Ekhad (Written Feb. 6, 2012)

• Using GENERATINGFUNCTIONOLOGY to Enumerate Distinct-Multiplicity Partitions By Doron Zeilberger (Written Jan. 18, 2012)

• Another Hanukkah Miracle: The Gaps Between Consecutive Christmas-in-Hanukkah Years is ALWAYS a Fibonacci Number! (2nd ed.) By Lisa Budd and Shalosh B. Ekhad
  First edition (only be SBE) : Jan. 2, 2012. This second edition: Nov. 15, 2019.

• Automatic Solution of Richard Stanley's Amer. Math. Monthly Problem #11610 and ANY Problem of That Type By Shalosh B. Ekhad and Doron Zeilberger (Written Dec. 28, 2011)

• The [NameRemoved] Determinant Identity is Purely Routine By Doron Zeilberger (Written Dec. 23, 2011)

• The Binomial Theorem for (N+n)^r (where Nf(n)=f(n+1)) By Moa Apagodu, Shalosh B. Ekhad, and Patrick Gaskill [Added Dec. 13, 2011: scooped by Koutschan et. al.'s paper]

• A Tribute to Herb Wilf By Doron Zeilberger(Written Dec. 7, 2011, to be copublished in the W80 proceedings volume)

• The Simplest Proof That Phi Is Irrational By Zehava Yachas (Written Nov. 21, 2011)

• Amanda Folsom and Ken Ono's Error Could Have (and Should Have!) been Discovered by Their Computers (in Less than Three Seconds!) By Shalosh B. Ekhad (Posted Nov. 18, 2011).

• A Maple One-Liner that is a MUCH Better ANSWER than George Andrews' ``Explicit'' Formula for the Rademacher Coefficients By Shalosh B. Ekhad (Written Oct. 23, 2011).

• Alexander Burstein's Lovely Combinatorial Proof of John Noonan's Beautiful Formula that the number of n-permutations that contain the Pattern 321 Exactly Once Equals (3/n)(2n)!/((n-3)!(n+3)!) By Doron Zeilberger (Written Oct. 18, 2011).

• Table of Natural Logarithms of All Integers from 1 to 50000 By Shalosh B. Ekhad (Generated Sept. 14, 2011).

• The Expected Number of Blocks in an Ordered Set Partition of n objects is n/log(4)+O(1), its Variance is (n/log(4))(1/log(4)-1/2)+O(1), and It is Asymptotically Normal! (An Experimental-Mathematical Proof) By Shalosh B. Ekhad (Written June 28, 2011).

• Two Proofs that Σ_k (-1)^k k!S(n,k)=(-1)ⁿ By Doron Zeilberger (Written June 26, 2011).

• In How Many Ways Can the Chess Pieces Walk n Steps, Staying on the Board? By Shalosh B. Ekhad (Generated May 19, 2011)

• Automatic Generation of Generating Functions for Enumerating Matchings By Shalosh B. Ekhad and Doron Zeilberger (Written April 29, 2011)

• The Number of Same-Sex Marriages in a Perfectly Bisexual Population is Asymptotically Normal By Shalosh B. Ekhad (Written April 28, 2011)

• In How Many Ways Can a King Return Home After Walking n Steps? By Shalosh B. Ekhad (Written April 13, 2011)

• The Sum of Two and Seven and The Product of Three by Three By Semaj Srelles (Written April 12, 2011)

• Automatic Generation of Generating Functions for Counting the Number of Spanning Trees for Grid Graphs (and more general creatures) of Fixed (but arbitrary!) Width By Shalosh B. Ekhad and Doron Zeilberger (Written April 2, 2011)

• Automatic Generation of Generating Functions for Chromatic Polynomials for Grid Graphs (and more general creatures) of Fixed (but arbitrary!) Width By Shalosh B. Ekhad, Jocelyn Quaintance, and Doron Zeilberger (Written March 30, 2011)

• A Note on an American Mathematical Monthly Note By Doron Zeilberger (Written Feb. 11, 2011)

• The Sagan-Savage Lucas-Catalan Polynomials Have Positive Coefficients By Shalosh B. Ekhad (Written Jan. 17, 2011)

• The Maximal number of floors a Building can have ... By Shalosh B. Ekhad (Written Nov. 7, 2010)

• A Case Study in Experimental (Yet Fully Rigorous!) Mathematics (Videotaped Lecture) By Doron Zeilberger (delivered Nov. 4, 2010, posted Nov. 6, 2010).

• Play Time With Determinants By Tewodros Amdeberhan and Shalosh B. Ekhad (with an appendix by Christoph Koutschan and his computer) (Written Oct. 31, 2010)

• Leon Ehrenpreis (1930-2010) A truly FUNDAMENTAL Mathematician (a Videotaped lecture) By Doron Zeilberger (posted Sept. 22, 2010, delivered Sept. 16, 2010).

• Why Is it So Hard to Count? (Videotaped Lecture) By Doron Zeilberger (posted Sept. 2, 2010, delivered Aug. 14, 2010).

• HISTABRUT: A Maple Package for Symbol-Crunching in Probability theory By Doron Zeilberger (Published: Aug. 25, 2010).

• Refined Asymptotics and Explicit Recurrences for the numbers of Young tableaux in the (k,l) hook for k+l ≤ 5 By Shalosh B. Ekhad and Amitai Regev (Published: July 28, 2010).

• 3x+1 (Videtape of the 2010 Erdos Memorial Lecture) By Doron Zeilberger (posted May 21, 2010, produced by Mike McKenna and Marc Heft). ( reanactment (producted by Edinah Gnang))

• Bijections for an identity of Young Tableaux By Amitai Regev and Doron Zeilberger . (Written: Feb. 22, 2010. Published: May 2, 2010).

• Statistical Analysis of the Erdos, Zeilberger, and Shelah Numbers in the Audience in Doron Zeilberger's Erdos Memorial Lecture By Shalosh B. Ekhad and the students of RU-Math640(Sp2010) (published April 10, 2010).

• The Number of Inversions and the Major Index of Permutations are Asymptotically Joint-Independently Normal (Second Edition!) By Andrew Baxter and Doron Zeilberger (First edition written April 7, 2010. Second (fully refereed!) edition published Feb. 4, 2011).

• Experimental Mathematics: Alias, the Future of Mathematics (Videotaped Lecture) By Doron Zeilberger (posted March 23, 2010, produced by Edinah Gnang).

• binomial(5,2) Proofs that binomial(n,k) ≤ binomial(n,k+1) if k < n/2 By Doron Zeilberger (published March 4, 2010).

• A Note on the Stanley Distribution By Shalosh B. Ekhad (published Jan. 20, 2010).

• A Eulogy for Jack Good By Doron Zeilberger (published Dec. 2, 2009).

• You Don't Have To Be an Einstein to Figure Out that Sara Should (Asymptotically) Eat n/3+4/27+O(1/n) Dove Bars ... By Shalosh B. Ekhad (published Nov. 11, 2009).

• A Multi-Set Identity for Partitions By Amitai Regev and Doron Zeilberger (posted here Sept. 22, 2009).

  In How Many Ways Can You Reassemble Several Russian Dolls? By Doron Zeilberger (published Sept. 16, 2009).

  A Computer-Generated Proof that P=NP By Doron Zeilberger (published April 1(!), 2009).

  An Inelegant (but Short(!)) Proof of a Major Index Theorem of Garsia and Gessel By Doron Zeilberger (published March 29, 2009).

  The Number of Walks on a Regular Cayley Tree By Eric Rowland and Doron Zeilberger (published March 12, 2009).

  A Proof of George Andrews' and Dave Robbins' q-TSPP Conjecture (modulo a finite amount of routine calculations)   By Manuel Kauers, Christoph Koutschan, and Doron Zeilberger (Written Aug. 2, 2008; Published: Jan. 25, 2009)

• A Bijectional Attack on the Razumov-Stroganov Conjecture By Arvind Ayyer and Doron Zeilberger (Written: Dec. 2, 2008)

• AsyRec: A Maple package for Computing the Asymptotics of Solutions of Linear Recurrence Equations with Polynomial Coefficients by Doron Zeilberger (Written: April 6, 2008).

• Four Solutions to David Beckwith's American Mathematical Monthly Problem 11343 (Feb. 2008) Compiled by Doron Zeilberger (Written: Feb. 8, 2008).

• How Likely is Polya's Drunkard to Return to the Pub Without Getting Mugged? (In d-Dimensional Manhattan) by Doron Zeilberger (Written: Dec. 18, 2007).

• The Number of Ways of Walking in x₁ ≥ ... ≥ x_k ≥ 0 for n Days, Starting and Ending at the Origin, Where at each Day you may either Stay in Place or Move One Unit in any Direction, Equals the Number of n-Cell Standard Young Tableaux with ≤ 2k+1 Rows. by Doron Zeilberger (Written: Dec. 6, 2007).

•                 by Doron Zeilberger (Written: June 15, 2007).

• Proof of a Conjecture of Philippe Di Francesco and Paul Zinn-Justin related to the qKZ equations and to Dave Robbins' Two Favorite Combinatorial Objects by Doron Zeilberger (Written: March 20, 2007).

• Martin KRUSKAL(Sept. 28, 1925-Dec.26, 2006) and Peter HAMMER(Dec. 23, 1936-Dec. 27, 2006), TWO GIANTS OF DISCRETE MATHEMATICS by Doron Zeilberger (Written: Dec. 29, 2006).

• On Vince Vatter's Brilliant Extension of Doron Zeilberger's Enumeration Schemes for Counting Herb Wilf's Classes by Doron Zeilberger (Written: Dec. 29, 2006).

• In How Many Ways Can n (Straight) Men and n (Straight) Women Get Married, if Each Person Has Exactly k Spouses by Shalosh B. Ekhad and Doron Zeilberger (Written: Dec. 29, 2006, Revised: Jan. 11, 2007).

• Proof of a Conjecture of Amitai Regev about Three-Rowed Young Tableaux (and much more!) by Shalosh B. Ekhad and Doron Zeilberger. (Written: Dec. 8, 2006).

• Fully AUTOMATED Computerized Redux of Feller's (v.1) Ch. III (and Much More!) by Doron Zeilberger (Written: Nov. 14, 2006).

• A Proof of the Loehr-Warrington Amazing TEN to the Power n Conjecture by Shalosh B. Ekhad, Vince Vatter and Doron Zeilberger . [ co-published in Vince Vatter's website and the arxiv.org.]

• What Is Experimental Mathematics? by Doron Zeilberger (Written: April 4, 2006).

• Proof of the Celebrated Goldbach's Theorem by Doron Zeilberger (Written: April 1, 2006).

• Automatic CounTilings by Doron Zeilberger (Written: Jan. 20, 2006)

• How to Play Backgammon (if you must) and how to Research it (if you have time) by Shalosh B. Ekhad and Doron Zeilberger (Written: Nov. 15, 2005).

• An Umbral Approach to the Hankel Trasform for Sequences by Doron Zeilberger (Written: Nov. 7, 2005).

• Another Proof that Euler Missed: Jonas Sjöstrand's Amazingly Simple (and Lovely!) Proof of the No-Longer-So-Amazing Loehr-Warrington Lattice Paths Conjecture by Doron Zeilberger (Written: Oct. 23, 2005).

• A Snappy Proof That 123-Avoiding Words are Equinumerous With 132-Avoiding Words by Doron Zeilberger (Written: April 11, 2005).

• A Perfect Rhythmic Tilings of QUADRUPLETS by Shalosh B. Ekhad and Lara Pudwell (Written: Nov. 30, 2004).

• Book Review of J. Borwein and D. Bailey's Mathematic by Experiments and J. Borwein, D. Bailey and R. Girgensohn's Experimentation in Mathematics Reviewed by Doron Zeilberger (Written: Nov. 12, 2004). [Also appeared in American Scientist, March-April 2005 issue].

• How Adam Marcus and Gabor Tardos Divided and Conquered the Stanley-Wilf Conjecture (An Étude in Paramathematics) by Doron Zeilberger (Written: Oct. 20, 2004).

• A 360-Character Maple Code that Proves (in 0.05 Seconds!) Sergey Sadov's Ptolemy-type Theorem that if ABCD are four Points on a Circle (arranged clockwise) then |AB|.|BC|.|CA|+|AC|.|CD|.|DA| =|BC|.|CD|.|DB|+|AB|.|BD|.|DA|
  by Shalosh B. Ekhad (Written: Oct. 14, 2004).

• Forty "Strange" Computer-Discovered [and Computer-Proved!] Hypergeometric Series Evaluations. by Shalosh B. Ekhad (Written: Oct. 12, 2004).

• A Fibonacci-Counting Proof Begged by Benjamin and Quinn by Doron Zeilberger (Written: May 24, 2004).

• A Loving Rendition of the Marcus-Tardos Amazing Proof of the Füredi-Hajnal Conjecture by Doron Zeilberger (Written: Nov. 30, 2003).

• All the Moments of the Vertex Degrees of Randomly Generated Graphs by Doron Zeilberger (Written: Nov. 30, 2003).

• Review of George Szpiro's `Kepler's Conjecture' by Doron Zeilberger (published in Science, Aug. 29, 2003).

• Towards a SymbolicComputational Philosophy (and Methodology!) for Mathematics by Doron Zeilberger. (Written: Dec. 12, 2002).

• I Am Sorry, Richard Ehrenborg and Margie Readdy, About Your Two Conjectures, But One is FAMOUS, While The Other Is FALSE by Doron Zeilberger (Written: July 2, 2002).

• How Many Singles, Doubles, Triples, Etc. Should The Coupon Collector Expect by Doron Zeilberger (Written: July 5, 2001).

• R(n,n) IS LESS THAN A CONSTANT TIMES (3.9999999999999997)**n by Shalosh B. Ekhad and Doron Zeilberger (Written: April 1, 2001!).

• The Umbral Transfer Matrix Method: II. Counting Plane Partitions by Doron Zeilberger (Written: Oct. 26, 2000) .

• Remarks On The PARRONDO PARADOX by Shalosh B. Ekhad and Doron Zeilberger (Written: Oct. 13, 2000) .

• Proof of an Identity Conjectured by Iossif Polterovitch that Came Up in the Agmon-Kannai Asymptotic Theory of the Heat Kernel by Doron Zeilberger (Written: Aug. 11, 2000) .

• Review of Dave Bressoud's "Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture" by Doron Zeilberger (Written: April 12, 2000) . (Also appeared in the Amer. Math. Monthly, Feb. 2001 issue)

• RODICA SIMION (1955-2000): An (almost) Perfect Enumerator and Huamn Being by Doron Zeilberger (Written: Jan. 12, 2000) .

• Does Dreidel Last O(NUTS**2) Spins? by Doron Zeilberger (Written: Kislev 30, 5760) .

• The Revenge of the Plain Mathematician: How I Answered Two Questions by Two Fancy Jerusalem Mathematicians In One Day by Doron Zeilberger (Written: Oct. 5, 1999.) .

• The Mathematics Behind the Proposed Reform of the Hebrew Calendar by Doron Zeilberger ( released April 1, 1999!).

• Mordukh Primak: The Man Who Really Loved Optimization by Doron Zeilberger. (Also appeared in Temple University Math Monthly (TUMM), v.2 (1999), Issue 5, 24 Feb. 1999 .)

• A User's Manual for RORTY: A Maple Package for Finding the Final Vocabularies of Texts. by Shalosh B. Ekhad and Doron Zeilberger.

• Some Stretching, Squeezing and Folding Caused By John Allen Paulos's Masterpiece `Once Upon a Number'. by Doron Zeilberger.

• WZ Theory, Chapter II by Doron Zeilberger.

• Sylvie Corteel's One-Line Proof of a Partition Theorem Generated by Andrews-Paule-Riese's Computer Reported by Doron Zeilberger.

• A 2-Minute Proof of the 2nd-Most Important Theorem of the 2nd Millenium By Doron Zeilberger.

• The Generalized U2-Flashlight Microsoft 5-Minute Puzzle By Shalosh B. Ekhad and Doron Zeilberger.

• The Combinatorial Astrology of Rabbi Abraham Ibn Ezra By Doron Zeilberger. (A Spanish translation appeared in "La Gaceta"(of the Spanish Royal Mathematical Society), Vol. 1, no. 3, Sep-Dec. (1998) 382-385)

• ``A Heterosexual Mehler Formula for the Straight Hermite Polynomials (A La Foata)'' By Doron Zeilberger.

• Aufgabe VII.47 of Polya-Szego Immediately Implies Dave Robbins's Multi-Integral Evaluation By Doron Zeilberger

• Mathematical Genitalysis: A Powerful New Combinatorial Theory that Obviates Mathematical Analysis By Shalosh B. Ekhad (Written April 1, 1998!)

• Constructing Efficient Particle Accelerators is as Easy As 1+1=2 (Thanks to Vladimir Visnjic) By Doron Zeilberger [ Also in Math. Mag. 72(1999), 151.]

• An Infinite Sequence of Trite but True Sentences By Doron Zeilberger

• Doron Zeilberger's Response to the Award of the 1998 AMS Leroy P. Steele award for Seminal Contributions to Research to Herb Wilf and Zeilberger By Doron Zeilberger [Appeared in Notices of the Amer. Math. Soc. 45(4) (April 1998), 504-508].

• The Integer-Sequence for the Number of Monomer-Dimer Tilings of an n by n Chessboard Starts With ... By Shalosh B. Ekhad

• A Very Short Proof of a Short Emperor's Theorem By Shalosh B. Ekhad

• Test Your C.Q. [Conjecture Quotient] By Doron Zeilberger

• How Sister Celine Fasenmyer and Dick Duffin Shaped my Mathematical Personality By Doron Zeilberger

• The Theory of Self-Avoiding Walks is Only 66.81 Percents Mathematical (According to the Appel Test). By Shalosh B. Ekhad

• Research Announcement: The Transcendence of e+Pi and e*Pi (Written April 1, 1997!) By Doron Zeilberger

• How Borwein and Bradley's Hypergeometric Ugly Duckling Turned Into a Beautiful Eulerian Swan, thanks to Almkvist and Granville's Magic By Doron Zeilberger

• King Solomon and Rabbi ben Ezra's Evaluations of Pi and Patriarch Abraham's Analysis of an Algorithm By Doron Zeilberger

• Letter to the Editor of the Monthly About v. 102 issue 10 By Doron Zeilberger

• Yet another proof of Cayley's formula for the number of labelled trees By Doron Zeilberger (based on a comment of Herb Wilf)

• Lagrange Inversion Without Tears (Analysis) (based on Henrici) By Doron Zeilberger

• The n^(n-2)th proof for the number of labelled trees By Doron Zeilberger

• A Proof of Morley's Theorem (from the Devil's book) By Shalosh B. Ekhad

• Proof of the Riemann Hypothesis and other Hitherto Undemonstrated Propositions (written 4/1/95), by Shalosh B. Ekhad

• A new proof that there are 2^n ways to toss a coin n times By Doron Zeilberger

• A Short proof of Pascal's Hexagon Theorem By Shalsoh B. Ekhad and Rene Descartes

• The joy of brute force: the covariance of the number of inversions and the major index By Shalosh B. Ekhad

• A wordy proof of a combinatorial lemma that arose in operator theory By Doron Zeilberger

• Catalan strikes again (and again)*By Doron Zeilberger

• On a question of Don Knuth By Doron Zeilberger

• A Recursive Formulation of Sylvester's Bijection Between Odd and Distinct Partitions By Doron Zeilberger (originally written: ca. 1984, posted in this Personal Journal: Jan. 3, 2011.)