On some problems about ternary paths: a linear algebra approach

zbMath1472.05008arXiv1910.02320MaRDI QIDQ1983200

Prodinger, Helmut

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02320

zbMATH Keywords

generating functionsgeneralized binomial seriesternary paths

Mathematics Subject Classification ID

Trees (05C05) Exact enumeration problems, generating functions (05A15)

Related Items (3)

Generating functions for a lattice path model introduced by Deutsch ⋮ An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths ⋮ Counting ternary trees according to the number of middle edges and factorizing into (3/2)-ary trees

Cites Work

• On the average depth of a prefix of the Dycklanguage \(D_ 1\).
• Walks confined in a quadrant are not always D-finite
• Lattice Path Enumeration
• On Two Subclasses of Motzkin Paths and Their Relation to Ternary Trees
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