TITLE:
Combinatorial Interpretation of Raney Numbers and Tree Enumerations
AUTHORS:
Chin Hee Pah, Mohamed Ridza Wahiddin
KEYWORDS:
Raney Numbers, Fuss-Catalan Numbers, Tree Enumeration, Network
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.5 No.1,
January
15,
2015
ABSTRACT: A new combinatorial interpretation of Raney numbers is proposed. We apply this combinatorial interpretation to solve several tree enumeration counting problems. Further a generalized Catalan triangle is introduced and some of its properties are proved.