Congruences involving \(g_n(x)=\sum\limits_{k=0}^n\dbinom{n}{k}^2\dbinom{2k}{k}x^k\)
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Publication:312434
DOI10.1007/s11139-015-9727-3zbMath1366.11006OpenAlexW2142504176MaRDI QIDQ312434
Publication date: 15 September 2016
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-015-9727-3
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)
Related Items (11)
On congruences involving Apéry numbers ⋮ Telescoping method and congruences for double sums ⋮ Proof of some congruences conjectured by Z.-W. Sun ⋮ Congruences for Apéry numbers βn =∑k=0nn k2n+k k ⋮ New series for powers of \(\pi\) and related congruences ⋮ On two congruences involving Apéry and Franel numbers ⋮ Divisibility results on Franel numbers and related polynomials ⋮ Supercongruences involving Lucas sequences ⋮ Hankel-type determinants for some combinatorial sequences ⋮ Proof of a conjecture involving Sun polynomials ⋮ Ramanujan-type supercongruences involving Almkvist-Zudilin numbers
Uses Software
Cites Work
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