43 citations · 43 across the 3 of their papers we have counts for
3 papers
math.CO2026
Sprout Symmetric Functions: Part 1
Tewodros Amdeberhan, John Shareshian, Richard P. Stanley
A \emph{sprout sequence} is a sequence $\frakr=(R_0=1,R_1,R_2,\dots)$ of symmetric functions in the variables $\bmx=(x_1,x_2,\dots)$ over a field generated from a power series…
math.CO2008
Pairs of Noncrossing Free Dyck Paths and Noncrossing Partitions
William Y. C. Chen, Sabrina X. M. Pang, Ellen X. Y. Qu +1
Using the bijection between partitions and vacillating tableaux, we establish a correspondence between pairs of noncrossing free Dyck paths of length and noncrossing partition…
math.CO2001★ 43 cited
Irreducible Symmetric Group Characters of Rectangular Shape
Richard P. Stanley
We give a new formula for the values of an irreducible character of the symmetric group S_n indexed by a partition of rectangular shape. Some observations and a conjecture are give…