Some congruences on Delannoy numbers and Schröder numbers-Reference-Cited by-同舟云学术

Some congruences on Delannoy numbers and Schröder numbers

Published:2018-07-23 Issue:07 Volume:14 Page:2035-2041
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Liu Ji-Cai¹,Li Long²,Wang Su-Dan²

Affiliation:

1. Department of Mathematics, Wenzhou University, Wenzhou 325035, P. R. China

2. School of Mathematical Sciences, East China Normal University, Shanghai 200241, P. R. China

Abstract

The Delannoy numbers and Schröder numbers are given by [Formula: see text] respectively. We mainly prove that for any prime [Formula: see text], [Formula: see text] which was originally conjectured by Sun in 2011. A related congruence on the Delannoy numbers is also proved.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042118501221

Reference15 articles.

1. Identities in combinatorics, I: on sorting two ordered sets

2. A Stern-type congruence for the Schröder numbers

3. A note on lattice chains and Delannoy numbers

4. ρ — Adic Analogues of Ramanujan Type Formulas for 1/π

5. Some congruences involving powers of Legendre polynomials

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