For stable genera, Bousquet-Mélou-Schaeffer numbers factor as a product of explicit Pochhammer-type factors times a polynomial in the partition parts, and the paper proves this combinatorially.
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Combinatorics of Bousquet-M\'elou-Schaeffer numbers in the light of topological recursion
For stable genera, Bousquet-Mélou-Schaeffer numbers factor as a product of explicit Pochhammer-type factors times a polynomial in the partition parts, and the paper proves this combinatorially.