Congruences for Catalan Larcombe French numbers

被引：6

作者：

Ji, Xiao-Juan ^{[1
]}

Sun, Zhi-Hong ^{[2
]}

机构：

[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China

[2] Huaiyin Normal Univ, Sch Math Sci, Huaian 223001, Jiangsu, Peoples R China

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2017年 / 90卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

congruence; Catalan-Larcombe-French number;

D O I：

10.5486/PMD.2017.7598

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let {P-n}be the Catalan-Larcombe French numbers given by P-0 = 1, P-1 = 8 and n(2) P-n = 8(3n(2) - 3n+1)Pn-1-128(n-1)(2) Pn-2 (n >= 2), and let S-n = P-n/2(n). In this paper, we deduce congruences for S-np, Snp+1 (mod p(3)), Smpr-1 (mod p(r)) and S-mpr+1 (mod p(2r)), where p is an odd prime and m, n, r are positive integers.

引用

页码：387 / 406

页数：20

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