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

Details The Half-Perimeter Generating Function of Gated and Wicketed Ferrers diagrams The Half-Perimeter Generating Function of Gated and Wicketed Ferrers diagrams

2007-10-26

arxiv.org/abs/0710.5133v1

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

Mathematics

Combinatorics

12 pages, 8 figures

Scientific paper

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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