19 citations · 137 across the 62 of their papers we have counts for
66 papers
Gaussian inequality
Tewodros Amdeberhan, David Callan
We prove some special cases of Bergeron's inequality involving two Gaussian polynomials (or -binomials).
A Note on Generalized Narayana Numbers
David Callan
We give a simple proof that the the number of Dyck paths of semilength with returns to ground level and peaks is the generalized Narayana number $\frac{i}{n} \binom{n}{…
An involution on set partitions
David Callan
We present an involution on set partitions that interchanges two statistics related to relative size of block entries and use it to establish an equidistribution on objects counted…
A bijection for Delannoy paths
David Callan
We exhibit a bijection between central Delannoy -paths, that is, lattice paths from the origin to with steps and the lattice paths from th…
Some bijections for lattice paths
David Callan
We present three bijections, the first between little Schröder paths and a class of growth-constrained integer sequences, the second between lattice paths consisting of steps with…
A Combinatorial Interpretation for Sequence A345973 in OEIS
David Callan
We give a combinatorial interpretation in terms of bicolored ordered trees for the sequence (a_n)_{n>=1}=(1, 1, 1, 2, 3, 6, 10, 20, 36, 73,... ), A345973 in OEIS, whose generating…