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
USA
Abstract:
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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