The On-Line Encyclopedia of Integer Sequences
The combinatorics net
NIST Digital Library of Mathematical Functions

Free softwares
sage (computer algebra + package combinat)
Singular: computer algebra system for polynomial computation

Non-free softwares
the Algolib Library (for Maple)
Magma (Computational Algebra System)
Mathematica package HYPQ: manipulation, identification of binomial and hypergeometric series.

Lectures / courses (Only free sources, available on the internet are listed here)
A= B, by Marko Petkovsek, Herbert Wilf and Doron Zeilberger
Algorithms and Complexity by Herbert S. Wilf
Analytic combinatorics by Philippe Flajolet and Robert Sedgewick
Combinatorial Algorithms by Albert Nijenhuis and Herbert S. Wilf
Applied Combinatorics by S. E. Payne
Combinatorial Stochastic Processes by Jim Pitman
Cours de combinatoire de D. Krob
Exactly Solved Models in Statistical Mechanics by Rodney Baxter
Generatingfunctionology by Herbert S. Wilf
Lectures on combinatorics, video course by James Propp
Logarithmic Combinatorial Structures: a Probabilistic Approach. by Arratia, Barbour and Tavaré
Markov chains and mixing times by David A. Levin, Yuval Peres and Elizabeth L. Wilmer
Non-Uniform Random Variate Generation by Luc Devroye
Notes on Combinatorics by Peter J. Cameron
Principe de combinatoire classique, Cours et exercices corrigés, par Dominique Foata et Guo-Niu Han
Probability on Trees and Networks by Russell Lyons with Yuval Peres
Reversible Markov Chains and Random Walks on Graphs by Aldous and Fill
Topics in Algebraic Combinatorics, Richard Stanley

Lists of combinatorial objects / Random generation

The combinatorial object server
Combinatorial figures,
Luc Devroye's trees
Vincent Beffara's simulations
Jean-François Marckert, large combinatorial objects
Nicolas Broutin's gallery
Jérémie Bettinelli's gallery
Richard Kenyon's gallery
from website :Perfectly Random Sampling with Markov Chains

Lists of open problems in combinatorics

Joshua Cooper
Bijective proof problems by Richard Stanley

Journals (Unfortunately, not all of them are free)

Advances in Applied Math
Annals of Combinatorics
Annales de l'institut Henri Poincaré D, Combinatorics, Physics and their Interactions
The Electronic Journal of Combinatorics
Journal of Combinatorial Theory, Series A
Journal of Combinatorial Theory, Series B
Séminaire lotharingien de combinatoire
Discrete math
European Journal of Combinatorics
Journal of Algebraic Combinatorics
Online Journal of Analytic Combinatorics
Random Structures and Algorithms

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