Congruence Classes of 2-adic Valuations of Stirling Numbers of the Second Kind

被引：0

作者：

Bennett, Curtis ^{[1
]}

Mosteig, Edward ^{[1
]}

机构：

[1] Loyola Marymount Univ, Dept Math, Los Angeles, CA 90045 USA

来源：

JOURNAL OF INTEGER SEQUENCES | 2013年 / 16卷 / 03期

关键词：

Stirling number; valuation; combinatorial enumeration problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze congruence classes of S(n, k), the Stirling numbers of the second kind, lido powers of 2. This analysis provides insight into a conjecture posed by Amdeberhan, Marina and Moll, which those authors established for k at most 5. We provide a framework that can be used to justify the conjecture by computational means, which we then complete for values of k between 5 and 20.

引用

页数：21

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