Proof of Sun’s conjectures on Schröder-like numbers

DOI10.1142/S1793042117500932zbMath1428.11011OpenAlexW2559994276WikidataQ114071997 ScholiaQ114071997MaRDI QIDQ5272484

Ji-Cai Liu, Wilberd van der Kallen

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/s1793042117500932

zbMATH Keywords

congruencesSchröder numbersZeilberger algorithmp-adic integer

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Uses Software

• SumTools

Cites Work

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• A supercongruence involving Delannoy numbers and Schröder numbers
• On Delannoy numbers and Schröder numbers
• Proof of a conjecture of Z.-W. Sun on the divisibility of a triple sum
• Hipparchus, Plutarch, Schroder, and Hough
• Some congruences involving powers of Legendre polynomials

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