Odd unimodal sequences have normalized rank statistics that converge to the hyperbolic secant distribution, with additional limiting laws for peak and part sizes.
Bridges, Partitions into distinct parts with bounded largest part
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Asymptotic Statistics of Odd Unimodal Sequences: Rank Distributions and Probabilistic Structures
Odd unimodal sequences have normalized rank statistics that converge to the hyperbolic secant distribution, with additional limiting laws for peak and part sizes.