On divisibility properties of some differences of Motzkin numbers

被引：0
|
作者：
Lengyel, Tamas [1 ]
机构：
[1] Occidental Coll, Los Angeles, CA 90041 USA
来源：
ANNALES MATHEMATICAE ET INFORMATICAE | 2013年 / 41卷
关键词：
Catalan number; Motzkin number; harmonic number; divisibility;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss divisibility properties of some differences of Motzkin numbers M-n. The main tool is the application of various congruences of high prime power moduli for binomial coefficients and Catalan numbers combined with some recurrence relevant to these combinatorial quantities and the use of infinite disjoint covering systems. We find proofs of the fact that, for different settings of a and b, more and more p-ary digits of Mapn+1+b and Mapn+b agree as n grows.
引用
收藏
页码：121 / 136
页数：16
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