S. Corteel, Crossings and alignments of permutations, Advances in Applied Mathematics, vol.38, issue.2, pp.149-1630601469, 2007.
DOI : 10.1016/j.aam.2006.01.006

P. Flajolet, Combinatorial aspects of continued fractions, Discrete Mathematics, vol.32, issue.3, pp.125-161, 1980.
DOI : 10.1016/0012-365X(80)90248-4

P. Flajolet and M. Noy, Analytic combinatorics of chord diagrams, Formal power series and algebraic combinatorics, pp.191-201, 2000.

A. Kasraoui and J. Zeng, Distribution of crossings, nestings and alignments of two edges in matchings and partitions, Electronic Journal of Combinatorics, vol.13, issue.12, p.601081, 2006.

M. Klazar and . Non-, Non-P-recursiveness of numbers of matchings or linear chord diagrams with many crossings, Formal power series and algebraic combinatorics, pp.126-136, 2001.
DOI : 10.1016/S0196-8858(02)00528-6

J. Penaud, Une preuve bijective d'une formule de Touchard-Riordan, Formal power series and algebraic combinatorics, pp.347-360, 1992.
DOI : 10.1016/0012-365X(94)00140-E

S. Poznanovi´cpoznanovi´c, A Bijection Between Partially Directed Paths in the Symmetric Wedge and Matchings, math.CO/0803, 2008.

J. A. Neil and . Sloane, The on-line encyclopedia of integer sequences, Notices of the, pp.912-915, 2003.

E. J. Janse-van-rensburg, T. Prellberg, and A. Rechnitzer, Partially directed paths in a wedge, Journal of Combinatorial Theory, Series A, vol.115, issue.4, pp.623-6500609834, 2008.
DOI : 10.1016/j.jcta.2007.08.003

X. Viennot, Une théorie combinatoire des polynômes orthogonaux généraux, Lecture Notes, UQAM, 1984.

L. K. Williams, Enumeration of totally positive Grassmann cells, Advances in Mathematics, vol.190, issue.2, pp.319-3420307271, 2005.
DOI : 10.1016/j.aim.2004.01.003