Haruspicy 3: The anisotropic generating function of directed bond-animals is not D-finite

DOI10.1016/j.jcta.2005.09.010zbMath1094.05002arXivmath/0408054OpenAlexW2111636325MaRDI QIDQ2500616

Andrew Rechnitzer

Publication date: 17 August 2006

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408054

zbMATH Keywords

solvabilityenumerationcomputer packagesdifferentiably finite power seriesbond animals

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Packaged methods for numerical algorithms (65Y15) Polyominoes (05B50)

Related Items (1)

The Anisotropic Generating Function of Self-Avoiding Polygons is not D-Finite

Uses Software

• gfun
• Maple

Cites Work

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• Animaux et arbres guingois. (Animals and guingois trees)
• Equivalence of the two-dimensional directed animal problem to a one- dimensional path problem
• D-finite power series
• New enumerative results on two-dimensional directed animals
• Haruspicy and anisotropic generating functions
• Lattice animals and heaps of dimers
• Indicators of solvability for lattice models
• Haruspicy 2: The anisotropic generating function of self-avoiding polygons is not D-finite
• GFUN
• Solvability of Some Statistical Mechanical Systems

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