Remarks on Catalan and super-Catalan numbers

@article{AnnaDorotaKrystek2011,
abstract = {In this article we discuss the Catalan and super-Catalan (or Schröder) numbers. We start with some combinatorial interpretations of those numbers. We study two probability measures in the context of free probability, one whose moments are super-Catalan, and another, whose even moments are super-Catalan and odd moments are zero. With the use of the latter we also show some new formulae for evaluation of the Catalans in terms of super-Catalans and vice-versa.},
author = {Anna Dorota Krystek, Łukasz Jan Wojakowski},
journal = {Banach Center Publications},
keywords = {Catalan numbers; super-Catalan numbers; partitions},
language = {eng},
number = {1},
pages = {237-244},
title = {Remarks on Catalan and super-Catalan numbers},
url = {http://eudml.org/doc/282403},
volume = {96},
year = {2011},
}

TY - JOUR
AU - Anna Dorota Krystek
AU - Łukasz Jan Wojakowski
TI - Remarks on Catalan and super-Catalan numbers
JO - Banach Center Publications
PY - 2011
VL - 96
IS - 1
SP - 237
EP - 244
AB - In this article we discuss the Catalan and super-Catalan (or Schröder) numbers. We start with some combinatorial interpretations of those numbers. We study two probability measures in the context of free probability, one whose moments are super-Catalan, and another, whose even moments are super-Catalan and odd moments are zero. With the use of the latter we also show some new formulae for evaluation of the Catalans in terms of super-Catalans and vice-versa.
LA - eng
KW - Catalan numbers; super-Catalan numbers; partitions
UR - http://eudml.org/doc/282403
ER -