Determinants of matrices related to the Pascal triangle
Journal de Théorie des Nombres de Bordeaux, Tome 14 (2002) no. 1, pp. 19-41.

On étudie les déterminants de matrices associées au triangle de Pascal.

The aim of this paper is to study determinants of matrices related to the Pascal triangle.

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     author = {Bacher, Roland},
     title = {Determinants of matrices related to the {Pascal} triangle},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
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     publisher = {Universit\'e Bordeaux I},
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     url = {http://www.numdam.org/item/JTNB_2002__14_1_19_0/}
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Bacher, Roland. Determinants of matrices related to the Pascal triangle. Journal de Théorie des Nombres de Bordeaux, Tome 14 (2002) no. 1, pp. 19-41. http://www.numdam.org/item/JTNB_2002__14_1_19_0/

[GHJ] F.M. Goodman, P. De La Harpe, V.F.R. Jones, Coxeter graphs and towers of algebras, Springer-Verlag, New York, 1989. | MR 999799 | Zbl 0698.46050

[GV] I. Gessel, G. Viennot, Binomial Determinants, Paths, and Hook Length Formulae. Adv. Math. 58 (1985), 300-321. | MR 815360 | Zbl 0579.05004

[IS] Integer-sequences, http://www.research.att.com/ njas/sequences/index.html

[K1] C. Krattenthaler, Advanced Determinant Calculus. Séminaire Lotharingien Combin. 42 (" The Andrews Festschrift") (1999), Article B42q, 67 pp. | MR 1701596 | Zbl 0923.05007

[K2] C. Krattenthaler, personal communication, september 2001.

[K3] C. Krattenthaler, Evaluations of some determinants of matrices related to the Pascal triangle. Preprint math.CO/0111328 (2001). | MR 1917069

[MW] M.L. Mehta, R. Wang, Calculation of a certain determinant. Commun. Math. Phys. 214 (2000), 227-232. | MR 1794272 | Zbl 0978.15007