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 $K$ generated from a power series…