Journal of Integer Sequences, Vol. 10 (2007), Article 07.10.3

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

Arvind Ayyer
Department of Physics
Rutgers - The State University
136 Frelinghuysen Road
Piscataway, NJ 08854


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.

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(Concerned with sequences A000079 A057410 A133106 A133107.)

Received October 30 2007; revised version received November 23 2007. Published in Journal of Integer Sequences, December 29 2007.

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