# The Half-Perimeter Generating Function of Gated and Wicketed Ferrers Diagrams

@article{Ayyer2007TheHG, title={The Half-Perimeter Generating Function of Gated and Wicketed Ferrers Diagrams}, author={Arvind Ayyer}, journal={arXiv: Combinatorics}, year={2007} }

We show that the half-perimeter generating functions for the number of wicketed and gated Ferrers diagrams is algebraic. Furthermore, the generating function of the wicketed Ferrers diagrams is closely related to the generating function of the Catalan numbers. The methodology of the experimentation, as well as the proof, is the umbral transfer matrix method.

## One Citation

### STATISTICAL MECHANICS AND COMBINATORICS OF SOME DISCRETE LATTICE MODELS

- Physics
- 2008

OF THE DISSERTATION Statistical Mechanics and Combinatorics of Some Discrete Lattice Models by Arvind Ayyer Dissertation Director: Professor Joel L. Lebowitz Many problems in statistical physics…

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### E-mail address: ayyer@physics.rutgers.edu

- E-mail address: ayyer@physics.rutgers.edu

### Department of Physics, 136 Frelinghuysen Rd

- Department of Physics, 136 Frelinghuysen Rd

### Return to Journal of Integer Sequences home page

- Return to Journal of Integer Sequences home page