A supercongruence involving Delannoy numbers and Schröder numbers
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Publication:301419
DOI10.1016/J.JNT.2016.04.019zbMath1396.11044arXiv1601.03938OpenAlexW2963609808WikidataQ114157423 ScholiaQ114157423MaRDI QIDQ301419
Publication date: 30 June 2016
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.03938
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83)
Related Items (12)
A new generalization of Delannoy numbers ⋮ Some congruences on Delannoy numbers and Schröder numbers ⋮ Unnamed Item ⋮ Proof of some divisibility results on sums involving binomial coefficients ⋮ Arithmetic properties of Delannoy numbers and Schröder numbers ⋮ Explicit formulas and recurrence relations for generalized Catalan numbers ⋮ A new recursive formula arising from a determinantal expression for weighted Delannoy numbers ⋮ Some parametric congruences involving generalized central trinomial coefficients ⋮ A new orthogonal polynomial associated with a generalization of Delannoy numbers ⋮ Congruences involving squares of generalized central trinomial coefficients ⋮ Factors of alternating sums of powers of \(q\)-Narayana numbers ⋮ Proof of Sun’s conjectures on Schröder-like numbers
Uses Software
Cites Work
- Unnamed Item
- Congruences involving generalized central trinomial coefficients
- On Delannoy numbers and Schröder numbers
- On divisibility of sums of Apéry polynomials
- Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory
- Some congruences for Apery numbers
- A Gaussian hypergeometric series evaluation and Apéry number congruences
- Some congruences involving powers of Legendre polynomials
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