The Half-Perimeter Generating Function of Gated and Wicketed Ferrers Diagrams
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
Full version: pdf,
(Concerned with sequences
Received October 30 2007;
revised version received November 23 2007.
Published in Journal of Integer Sequences, December 29 2007.
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