Combinatorics

Dedekind's Problem
Generating Function For Eulerian Numbers
Permutation Loops
The Four Color Theorem
Polyomino Enumerations
Powers of Primes Dividing Factorials
The Dartboard Sequence
Meeting Combinations and Interval Graphs
Binary Games
Additive and Multiplicative Partitions
414298141056 Quarto Draws Suffice!
Coloring The Edges of an Icosahedron
Uniform Squares
Cumulative Permutation Sequences
Center of Gravity With Integer Coordinates
Unification of Eulerians and Binomials
The Factorial Number System
3->3 Mapping With No Crossed Lines
The Statistics of Counterintelligence
Cyclical Partition Sequences
Finding All Cycles of Partition Sequences
Clouds, Shy Squares, and Diophantus
Computing the Partitions of n
Solving Magic Squares
Generating the Monotone Boolean Functions
Meeting Probabilities
The Determinants of 4x4 Magic Squares
The Importance of Being Urnest (B Balls of K Colors in N Urns)
The Meanings of Catalan Numbers
Balls In Bins With Limited Capacities
Sequences of Characters in Random Strings
Complete Bit-Cubes
A Procrustean Protocol
Partitions into Consecutive Integers
Tables of 1 to N with Equal Columns
Regular Polygonal Arrangements
The Pigeon Hole Principle
Two Proofs of Impossibility for Five-Point Star
Golf Tournaments, Polyhedra, and Latin Squares
Generating Functions for Point Set Distances
Derangements and Generalizations
Round-Robin Ties
The Coin in Three Fountains
Impossible Strings for Cellular Automata
McCauley Cycles
Permutation Puzzles
Collecting k Complete Sets of Coupons
Christmas Ornaments
Generalized Eulerian Numbers
Pythagorean Graphs
Ringing of the Changes (The Shape of 4!)
f(f(x))=exp(x) Generates the Multinomials
Progress on Dedekind's Problem

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