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Why Delannoy numbers?

This article is not a research paper, but a little note on the history of combinatorics: We present here a tentative short biography of Henri Delannoy, and a survey of his most notable works. This answers to the question raised in the title, as these works are related to lattice paths enumeration, to the so-called Delannoy numbers, and were the first general way to solve Ballot-like problems. These numbers appear in probabilistic game theory, alignments of DNA sequences, tiling problems, temporal representation models, analysis of algorithms and combinatorial structures.

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Related contextRelated contextCo-authorshipRelated contextAuthorshipAuthorshipTopic signalTopic signalTopic signalTopic signalTopic signalTopic signalTopic signalTopic signalRelated contextRelated contextRelated contextWWhy Delannoy numbers?preprint / 2004ACyril BanderierResearcherASylviane SchwerResearcherTmath.CO8936 worksTmath.PR7239 worksTData Structures and Alg...3564 worksTmath.ST3384 worksTStatistics Theory3281 worksTComputer Science and Ga...1864 worksTGenomics360 worksTmath.HO497 works
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Why Delannoy numbers?

preprint / 2004

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