Combinatorial Proofs of Addition Formulas

Electronic Journal Of Combinatorics

Xiang-Ke Chang¹ 

关键词: Lattice paths;    Catalan numbers;    Motzkin numbers;    Large Schr\";    {o}der numbers;    Hankel determinant;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

In this paper we give a combinatorial proof of an addition formula for weighted partial Motzkin paths. The addition formula allows us to determine the $LDU$ decomposition of a Hankel matrix of the polynomial sequence defined by weighted partial Motzkin pa

【 授权许可】

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