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math.CO2019
Arboretum for a generalization of Ramanujan polynomials
Lucas Randazzo
In this paper, we expand on the work of Guo and Zeng from 2007 on a generalization of the Ramanujan polynomials and planar trees. We manage to find combinatorial interpretations of…
math.CO2019
Hook-length formula and applications to alternating permutations
Lucas Randazzo
In this paper, we take interest in finding applications for a hook-length formula recently proved in (Morales Pak Panova 2016). This formula can be applied to give a non trivial re…