[HTML][HTML] Some properties of the Fuss–Catalan numbers

F Qi, P Cerone - Mathematics, 2018 - mdpi.com
In the paper, the authors express the Fuss–Catalan numbers as several forms in terms of the
Catalan–Qi function, find some analytic properties, including the monotonicity, logarithmic …

[HTML][HTML] Cool-lex order and k-ary Catalan structures

S Durocher, PC Li, D Mondal, F Ruskey… - Journal of Discrete …, 2012 - Elsevier
For any given k, the sequence of k-ary Catalan numbers, Ct, k= 1kt+ 1 (ktt), enumerates a
number of combinatorial objects, including k-ary Dyck words of length n= kt and k-ary trees …

A wide class of combinatorial matrices related with reciprocal Pascal and super Catalan matrices

E Kilic, H Prodinger - 2019 - scholar.sun.ac.za
In this paper, we present a number of combinatorial matrices that are generalizations or
variants of the super Catalan matrix and the reciprocal Pascal matrix. We present explicit …

Factorizations related to the reciprocal Pascal matrix

H Prodinger - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
Factorizations related to the reciprocal Pascal matrix Page 1 Turkish Journal of Mathematics
Volume 40 Number 5 Article 5 1-1-2016 Factorizations related to the reciprocal Pascal …

[BOOK][B] Parking functions and generalized Catalan numbers

PRF Schumacher - 2009 - search.proquest.com
Since their introduction by Konheim and Weiss, parking functions have evolved into objects
of surprising combinatorial complexity for their simple definitions. First, we introduce these …

Some Properties of the Fuss–Catalan Numbers

Q Feng, P Cerone - Mathematics, 2018 - search.proquest.com
In the paper, the authors express the Fuss–Catalan numbers as several forms in terms of the
Catalan–Qi function, find some analytic properties, including the monotonicity, logarithmic …