On the Parity of Certain Coefficients for a $q$-Analogue of the Catalan Numbers

Electronic Journal Of Combinatorics

Kendra Killpatrick¹ 

关键词: Wilf equivalence;    charge statistic;    Young tableaux;    permutation statistics;    major index;    pattern avoiding sets;    Catalan numbers;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

The 2-adic valuation (highest power of 2) dividing the well-known Catalan numbers, $C_n$, has been completely determined by Alter and Kubota and further studied combinatorially by Deutsch and Sagan.  In particular, it is well known that $C_n$ is odd if an

【 授权许可】

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