Refined enumerations of alternating sign triangles

DOI10.1016/j.aam.2019.06.004zbMath1385.05013arXiv1804.10370OpenAlexW2969647987WikidataQ127355970 ScholiaQ127355970MaRDI QIDQ5916027

Florian Aigner

Publication date: 20 April 2018

Published in: Advances in Applied Mathematics, Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10370

zbMATH Keywords

Motzkin pathsconstant term identityalternating sign trianglesAS-trapezoidscentred Catalan setspolynomial enumeration formulaalternating sign trapezoids

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Sign pattern matrices (15B35)

Related Items (4)

Refined enumeration of halved monotone triangles and applications to vertically symmetric alternating sign trapezoids ⋮ Refined enumerations of alternating sign triangles ⋮ Enumeration of alternating sign triangles using a constant term approach ⋮ A constant term approach to enumerating alternating sign trapezoids

Cites Work

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