论文标题
关于广义纳拉亚纳号码的注释
A Note on Generalized Narayana Numbers
论文作者
论文摘要
我们提供一个简单的证据,证明具有$ i $返回的dyck路径的数量,$ j $ peacs是概括的narayana number $ \ frac {i} {n} {n} \ binom {n} {n} {j} {j} {j} {j} \ binom {n -i -i -i -1} $} $。
We give a simple proof that the the number of Dyck paths of semilength $n$ with $i$ returns to ground level and $j$ peaks is the generalized Narayana number $\frac{i}{n} \binom{n}{j} \binom{n - i - 1}{j - i}$.