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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Supercongruences involving Motzkin numbers and central trinomial coefficients
莫茨金数 中心三项式系数 超同余
2023/4/21
In this talk, we investigate congruence properties for Motzkin numbers and central trinomial coefficients. Let M_n and T_n denote the nth Motzkin number and the nth central trinomial coefficient respe...
On the enumeration of three-rowed standard Young tableaux of skew shape in terms of Motzkin numbers
three-rowed standard Young tableaux Combinatorics
2011/9/15
Abstract: The enumeration of standard Young tableaux (SYTs) of shape {\lambda} can be easily computed by the hook-length formula. In 1981, Amitai Regev proved that the number of SYTs having at most th...
On the order of the recursion relation of Motzkin numbers of higher rank
Motzkin numbers recursion gfun
2008/11/10
For Motzkin paths with up- and down-steps of heights 1 and 2, the minimal recursion is of order 6, not of order 4, as conjectured by Schork.