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A. Bostan, <a href="httphttps://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.410.1160&amp;rep=rep1&amp;type=pdf/749aef4c6f3668e652b5074e5268346ccecc88c9">Computer Algebra for Lattice Path Combinatorics</a>, Seminaire de Combinatoire Ph. Flajolet, March 28 2013.

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Bostan, Alin ; Chyzak, Frédéric; van Hoeij, Mark; Kauers, Manuel; Pech, Lucien <a href="https://doi.org/10.1016/j.ejc.2016.10.010">Hypergeometric expressions for generating functions of walks with small steps in the quarter plane.</a> Eur. J. Comb. 61, 242-275 (2017)

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Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 0), (0, 1), (1, -1), (1, 0)}.

Alin Bostan, Calcul Formel pour la Combinatoire des Marches [The text is in English], Habilitation à Diriger des Recherches, Laboratoire d’Informatique de Paris Nord, Université Paris 13, December 2017; https://specfun.inria.fr/bostan/HDR.pdf

Alin Bostan, <a href="https://specfun.inria.fr/bostan/HDR.pdf">Calcul Formel pour la Combinatoire des Marches</a> [The text is in English], Habilitation à Diriger des Recherches, Laboratoire d’Informatique de Paris Nord, Université Paris 13, December 2017.

MA. Bousquet-Mélou Bostan and M. Mishna, 2008. Walks with small steps in the quarter plane, Kauers, <a href="http://arxiv.org/abs/08100811.43872899">ArXiv 0810.4387Automatic Classification of Restricted Lattice Walks</a>, arXiv:0811.2899 [math.CO], 2008-2009.

AM. Bostan Bousquet-Mélou and M. Kauers, 2008. Automatic Classification of Restricted Lattice Walks, Mishna, <a href="http://arxiv.org/abs/08110810.28994387">ArXiv 0811.2899Walks with small steps in the quarter plane</a>, arXiv:0810.4387 [math.CO], 2008-2009.

G.f. : Int(Int(x*(3*x+1)*(-4+Int(2*(1-2*x-15*x^2)^(3/2)*((4*x^2-1)*(92*x^4+76*x^3+43*x^2+6*x+1)*hypergeom([7/4, 9/4],[2],64*x^3*(1+x)/(1-4*x^2)^2)+14*x^3*(10*x+1)*(18*x^3+7*x^2+3*x-1)*hypergeom([9/4, 11/4],[3],64*x^3*(1+x)/(1-4*x^2)^2))/((3*x+1)*(1-4*x^2)^(9/2)*x^2),x))/(1-2*x-15*x^2)^(5/2),x),x)/x^2. _- _Mark van Hoeij_, Aug 16 2014

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Alin Bostan, Calcul Formel pour la Combinatoire des Marches [The text is in English], Habilitation à Diriger des Recherches, Laboratoire d’Informatique de Paris Nord, Université Paris 13, December 2017; https://specfun.inria.fr/bostan/HDR.pdf

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M. Bousquet-Melou Mélou and M. Mishna, 2008. Walks with small steps in the quarter plane, <a href="http://arxiv.org/abs/0810.4387">ArXiv 0810.4387</a>.