Combinatorial interpretation of bisnomial coefficients and generalized Catalan numbers

Combinatorial interpretation of bisnomial coefficients and generalized Catalan numbers
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二项式系数和广义加泰罗尼亚数的组合解释

DOI:
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发表时间:
2020
期刊:
International Conference Algebras, graphs and ordered sets
影响因子:
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通讯作者:
Oussama Igueroufa
Oussama Igueroufa
中科院分区:
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文献类型:
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作者:
H. Belbachir;Oussama Igueroufa

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我们提供了一个组合的解释,通过使用路径,躺在超网格的双项系数。利用s-Pascal三角形给出了Catalan数的一个推广,称为s-Catalan数。给出了s-Catalan数的两个恒等式。
We provide a combinatorial interpretation of bisnomial coefficients, by using paths that lie on hypergrids. We also give a generalization of Catalan numbers, called as s-Catalan, through using s-Pascal triangle. Two identities of s-Catalan numbers are derived.