On the lacunary sum of trinomial coefficients

DOI10.1016/j.amc.2018.07.028zbMath1428.11042OpenAlexW2887050800MaRDI QIDQ2007524

He-Xia Ni, Hao Pan

Publication date: 22 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.07.028

zbMATH Keywords

Chebyshev polynomiallinear recurrence sequencetrinomial coefficient

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Recurrences (11B37) Congruences; primitive roots; residue systems (11A07) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

Some new results about 𝑞-trinomial coefficients ⋮ On the divisibility of \(q\)-trinomial coefficients ⋮ Trinomial coefficients, Fibonacci numbers and units of the group \(\mathcal{U}(\mathbb{Z} C_p)\)

Cites Work

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• On the sum \(\sum_{k\equiv r\pmod m}{n\choose k}\) and related congruences.
• Euler's Ëxemplum Memorabile Inductionis Fallacis" and q-Trinomial Coefficients
• The Second Strong Law of Small Numbers
• A Congruence for Primes
• Fibonacci numbers and Fermat's last theorem

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