The number of three-choice polygons

Authors:
A. Conway;A. J. Guttmann;M. Delest
Affiliations:
Department of Mathematics University of Melbourne Parkville 3052, Australia;Department of Mathematics University of Melbourne Parkville 3052, Australia;LaBRI-Université Bordeaux 1 351 cours de la Libération 33405 Talence Cedex, France
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1997

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Haruspicy and anisotropic generating functions

Advances in Applied Mathematics - Special issue on: Formal power series and algebraic combinatorics in memory of Rodica Simion, 1955-2000

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Abstract

A polynomial time enumeration method for the three-choice polygon model in two dimensions is given together with numerical analysis of the enumerated series and an argument supporting the asymptotic behaviour of the number of imperfect staircase polygons.