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math.CO2013★ 11 cited
Generalized Stirling permutations and forests: Higher-order Eulerian and Ward numbers
J. Fernando Barbero G., Jesús Salas, Eduardo J. S. Villaseñor
We define a new family of generalized Stirling permutations that can be interpreted in terms of ordered trees and forests. We prove that the number of generalized Stirling permutat…
math.CO2013★ 28 cited
Bivariate Generating Functions for a Class of Linear Recurrences: General Structure
J. Fernando Barbero G., Jesús Salas, Eduardo J. S. Villaseñor
We consider Problem 6.94 posed in the book Concrete Mathematics by Graham, Knuth, and Patashnik, and solve it by using bivariate exponential generating functions. The family of rec…