On some congruences involving generalized central trinomial coefficients

DOI10.1007/s40840-022-01406-wOpenAlexW4309880038MaRDI QIDQ2683141

Yanyan Li

Publication date: 3 February 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01406-w

zbMATH Keywords

congruencesLegendre symbolgeneralized central trinomial coefficients

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Other combinatorial number theory (11B75) Congruences; primitive roots; residue systems (11A07)

Uses Software

• OEIS

Cites Work

• Congruences involving generalized central trinomial coefficients
• Binomial coefficients, Catalan numbers and Lucas quotients
• Lattice gas generalization of the hard hexagon model. III: \(q\)-trinomial coefficients
• On Motzkin numbers and central trinomial coefficients
• Euler's Ëxemplum Memorabile Inductionis Fallacis" and q-Trinomial Coefficients
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