Super congruences for two Apéry-like sequences

DOI10.1080/10236198.2018.1515930zbMath1446.11007OpenAlexW2891626800MaRDI QIDQ4559346

Zhi-Hong Sun

Publication date: 3 December 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2018.1515930

zbMATH Keywords

binary quadratic formEuler numbercongruencebinomial coefficientsApéry-like number

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Sums of squares and representations by other particular quadratic forms (11E25) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Congruences; primitive roots; residue systems (11A07) Sequences (mod (m)) (11B50) Numerical aspects of recurrence relations (65Q30)

Related Items (11)

On some congruences involving Apéry-like numbers S_n ⋮ Proof of some conjectural congruences involving Domb numbers and binary quadratic forms ⋮ The asymptotic log-convexity of Apéry-like numbers ⋮ Supercongruences involving Domb numbers and binary quadratic forms ⋮ Supercongruences involving products of three binomial coefficients ⋮ Proof of some congruence conjectures of Z.-H. Sun involving Apéry-like numbers ⋮ Supercongruences for sums involving Domb numbers ⋮ On two supercongruences for sums of Apéry-like numbers ⋮ On some congruences involving Domb numbers and harmonic numbers ⋮ Supercongruences and binary quadratic forms ⋮ Congruences for certain families of Apéry-like sequences

Cites Work

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