Some relatives of the Catalan sequence
Combinatorics
2021-11-22 v1 Probability
Abstract
We study a family of sequences , where and are real parameters. We find a sufficient condition for positive definiteness of the sequence and check several examples from OEIS. We also study relations of these sequences with the free and monotonic convolution.
Cite
@article{arxiv.1907.10725,
title = {Some relatives of the Catalan sequence},
author = {Elżbieta Liszewska and Wojciech Młotkowski},
journal= {arXiv preprint arXiv:1907.10725},
year = {2021}
}