Stanley's conjectures on the Stern poset

DOI10.1016/j.disc.2023.113359OpenAlexW3031148964WikidataQ123161431 ScholiaQ123161431MaRDI QIDQ2699927

Yanyan Li

Publication date: 20 April 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.00400

zbMATH Keywords

Chebyshev polynomial of the second kindreal zeros\(P\)-Eulerian polynomialsStern posetStern's triangle

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorics of partially ordered sets (06A07)

Cites Work

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• A unified approach to polynomial sequences with only real zeros
• Unimodality, log-concavity, real-rootedness and beyond
• Stern's Diatomic Sequence 0,1,1,2,1,3,2,3,1,4,…
• Proof of a conjecture of Stanley about Stern's array
• Some Linear Recurrences Motivated by Stern’s Diatomic Array

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