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Emploi de l’échiquier pour la résolution de problèmes arithmétiques
DALE, MRT et MOON, J. W. (1993) The permuted analogues of three Catalan sets.
Journal of statistical planning and inference, vol. 34, no 1, p. 75-87.
BANDERIER, Cyril et SCHWER, Sylviane (2005) Why Delannoy numbers ?
Journal of statistical planning and inference, 2005, vol. 135, no 1, p. 40-54.
SCHWER, Sylviane et AUTEBERT, Jean-Michel (2006) Henri-Auguste Delannoy, une biographie (1e partie).
Mathématiques et sciences humaines. Mathematics and social sciences, no 174, p. 25-67.
JOHANIS, Michal et RYCHTÁR, Jan. (2009) On the singled out game.
International Journal of Mathematics Game Theory and Algebra, 2009, vol. 18, no 6, p. 479-488.
Sur la durée du jeu
Emploi de l’échiquier pour la résolution de divers problèmes de probabilité
Problèmes divers concernant le jeu
BANDERIER, Cyril et SCHWER, Sylviane (2005) Why Delannoy numbers ? Journal of statistical planning and inference, vol. 135, no 1, p. 40-54.
SCHWER, Sylviane et AUTEBERT, Jean-Michel (2006) Henri-Auguste Delannoy, une biographie (1e partie). Mathématiques et sciences humaines. Mathematics and social sciences, 2006, no 174, p. p. 25-67.
Formules relatives aux coefficients du binôme
BANDERIER, Cyril et SCHWER, Sylviane (2005) Why Delannoy numbers ? Journal of statistical planning and inference, vol. 135, no 1, p. 40-54.
Sur le nombre d’isomères possibles dans une molécule carbonée
Sur les arbres géométriques et leur emploi dans la théorie des combinaisons chimiques
BANDERIER, Cyril et SCHWER, Sylviane (2005) Why Delannoy numbers ? Journal of statistical planning and inference, vol. 135, no 1, p. 40-54.
SCHWER, Sylviane et AUTEBERT, Jean-Michel (2006) Henri-Auguste Delannoy, une biographie (1e partie). Mathématiques et sciences humaines. Mathematics and social sciences, no 174, p. p. 25-67.
COURGEAU, Daniel(2012) Probability and social science : methodological relationships between the two approaches. Springer Science & Business Media,
COURGEAU, Daniel (2012) The Objectivist Approach. In : Probability and Social Science. Springer Netherlands, p. 7-41.
Sur une question de probabilité traitée par d’Alembert
Une question d’analyse indéterminée
BANDERIER, Cyril et SCHWER, Sylviane (2005) Why Delannoy numbers ? Journal of statistical planning and inference, vol. 135, no 1, p. 40-54.
Emploi de l’échiquier pour la résolution de certains problèmes de probabilités
AUTEBERT, Jean-Michel, LATAPY, Matthieu, et SCHWER, Sylviane R. (2002)
Le treillis des chemins de Delannoy.
Discrete Mathematics, vol. 258, no 1, p. 225-234.
SCHWER, Sylviane R. (2002) S-arrangements avec répétitions.
Comptes Rendus Mathematique, vol. 334, no 4, p. 261-266.
OPPENHEIM, A. C., BRAK, R., et OWCZAREK, A. L. (2002) Anisotropic step, surface contact, and area weighted directed walks on the triangular lattice.
International Journal of Modern Physics B, 2002, vol. 16, no 09, p. 1269-1299.
SULANKE, Robert A. (2003) Objects counted by the central Delannoy numbers.
J. Integer Seq, vol. 6, no 1.
EU, Sen-Peng (2003) On the quadratic algebraic generating functions and combinatorial structures. Thèse de doctorat. National Taiwan Normal University.
AUTEBERT, Jean-Michel, DECAILLOT Anne-Marie, et SCHWER Sylviane, (2003)
Henri-Auguste Delannoy et la publication des œuvres posthumes d’Edouard Lucas
. Gazette des mathématiciens : bulletin de liaison de la Société mathématique de France, n°95,p. 51-62.
BANDERIER, Cyril et SCHWER, Sylviane (2005) Why Delannoy numbers ?
Journal of statistical planning and inference, 2005, vol. 135, no 1, p. 40-54.
HETYEI, Gábor (2005) Central Delannoy numbers, Jacobi polynomials, and a new operation on balanced simplicial complexes," Combinatorics Seminar, University of South Carolina, March 22.
HETYEI, Gábor (2006) Central Delannoy numbers and balanced Cohen-Macaulay complexes. Annals of Combinatorics, vol. 10, no 4, p. 443-462.
HETYEI, Gábor.(2006) Central Delannoy numbers, Legendre polynomials, and a balanced join operation preserving the Cohen-Macaulay property. 18thinternational conference on "Formal Power Series and Algebraic Combinatorics", San Diego, CA, June 23.
HETYEI, Gábor (2008) Delannoy numbers and Legendre polytopes. Proceedings of the20th international conference on "Formal Power Series and Algebraic Combinatorics", Valparaiso, Chile, June 23-27.
HETYEI, Gábor (2008) Delannoy numbers and a combinatorial proof of the orthogonality of the Jacobi polynomials with natural number parameters. 23rd Clemson mini-Conference on Discrete Mathematics and Algorithms, Clemson, SC, October 2.
HETYEI, Gábor (2008) Delannoy numbers and the orthogonality of certain Jacobi polynomials," Algebra and Combinatorics Seminar, Mathematics Department, NC State University, September 12.
HETYEI, Gábor (2008) Links We Almost Missed Between Delannoy Numbers and Legendre Polynomials. Billerafest 2008, June 13-15.
HETYEI, Gábor (2009) Delannoy orthants of Legendre polytopes.
Discrete & Computational Geometry, vol. 42, no 4, p. 705-721.
HETYEI, Gábor (2009) Geometric interpretations of the relation between Delannoy numbers and Legendre polynomials," colloquium talk at the Department of Mathematical Sciences, George Mason University, November 20.
杨 金花 et 田冲 (2009) Delannoy 数的计算公式与卷积和. 周口师范学院学报, 2009, vol. 26, no 2, p. 11-13.
田冲 et 杨金花 (2009). Delannoy 数的卷积和. 平顶山学院学报, vol. 24, no 2, p. 66-68.
DZIEMIANCZUK, M. (2013) Generalizing Delannoy numbers via counting weighted lattice paths. INTEGERS, vol. 13, 34 p.
VELASCO, Claudio de Jesús Pita Ruiz (2010). Convolution and Sulanke numbers. Journal of Integer Sequences, vol. 13, no 2, p. 3.
SAMIEINIA, Shiva (2010) The number of continuous curves in digital geometry. Portugaliae Mathematica, vol. 67, no 4, p. 75.
MEIJER, Johannes W. (2010) Famous numbers on a Chessboard. Acta Nova, vol. 4, p. 589.
DZIEMIANCZUK, Maciej (2014) On Directed Lattice Paths With Additional Vertical Steps. arXiv preprint arXiv:1410.5747.