Formula:8503

Digital Library of Mathematical Functions ID 26.6.E8

${\displaystyle{\displaystyle\sum_{n,k=1}^{\infty}N(n,k)x^{n}y^{k}=\frac{1-x-xy-\sqrt{(1-x-xy)^{2}-4x^{2}y}}{2x},}}$

Symbols List

• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle N(n,k)}}$: Narayana number (locally)
• ${\displaystyle{\displaystyle x}}$: small
• ${\displaystyle{\displaystyle y}}$: small
 

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