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The height of skew Dyck paths with two variants of downsteps
[Submitted on 15 Jan 2026 (v1), last revised 11 Jul 2026 (this v · 2026-01-16 · via math.CO updates on arXiv.org

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Abstract:Recently, in the context of walks of hexagonal circle packings, interest has emerged in the family of skew Dyck paths with two variants
of down-steps. These paths have steps $U, D_g, D_b, L=D_r$. Using generating functions, the kernel method and (in)finite linear systems, contributions to the (average) height and other enumerations are made. As in many similar instances, the average height is of order $\sqrt n$.

Submission history

From: Helmut Prodinger [view email]
[v1] Thu, 15 Jan 2026 22:49:34 UTC (9 KB)
[v2] Sat, 11 Jul 2026 13:30:11 UTC (9 KB)

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