Spectral curve for Eynard-Orantin recursions on dessins d'enfants is related to Narayana numbers.
Zhou, Topological recursions of Eynard-Orantin type for interse ction num- bers on moduli spaces of curves
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Grothendieck's Dessins d'Enfants in a Web of Dualities. II
Spectral curve for Eynard-Orantin recursions on dessins d'enfants is related to Narayana numbers.