Some further properties of even and odd sequences

DOI10.1142/S1793042117500798zbMath1428.11053OpenAlexW2559832610WikidataQ114071998 ScholiaQ114071998MaRDI QIDQ5272470

Zhi-Hong Sun

Publication date: 29 June 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042117500798

zbMATH Keywords

Euler numberBernoulli numbercongruenceFibonacci numbereven sequenceodd sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Recurrences (11B37) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

Super congruences for two Apéry-like sequences

Cites Work

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• Proof of three conjectures on congruences
• Generalized Legendre polynomials and related supercongruences
• Acceleration of the computation of Bernoulli numbers
• Congruences concerning Bernoulli numbers and Bernoulli polynomials
• Supercongruences involving products of two binomial coefficients
• Lacunary recurrence formulas for the numbers of Bernoulli and Euler
• Congruences of multiple sums involving invariant sequences under binomial transform

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