On a New Alternating Convolution Formula for the Super Catalan Numbers
Combinatorics
2021-10-12 v1 Number Theory
Abstract
We present a new alternating convolution formula for the super Catalan numbers which arises as a generalization of two known binomial identities. We prove a generalization of this formula by using auxiliary sums, recurrence relations, and induction. By using a new method, we prove one interesting divisibility result with super Catalan numbers.
Cite
@article{arxiv.2110.04805,
title = {On a New Alternating Convolution Formula for the Super Catalan Numbers},
author = {Jovan Mikić},
journal= {arXiv preprint arXiv:2110.04805},
year = {2021}
}
Comments
21 pages