Spectral curve for Eynard-Orantin recursions on dessins d'enfants is related to Narayana numbers.
Witten, Two-dimensional gravity and intersection theory on moduli space
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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.