Exact results for the generating function of directed column-convex animals on the square lattice

DOI10.1088/0305-4470/27/13/012zbMath0846.33004OpenAlexW2070643333MaRDI QIDQ4869834

G. S. Joyce, Anthony J. Guttmann

Publication date: 17 March 1996

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/27/13/012

zbMATH Keywords

lattice animalsfour-term recurrence relation

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (4)

Polyominoes defined by their vertical and horizontal projections ⋮ A method for the enumeration of various classes of column-convex polygons ⋮ The average height of directed column-convex polyominoes having square, hexagonal and triangular cells ⋮ Solvability of Some Statistical Mechanical Systems

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